How do you find vertical, horizontal and oblique asymptotes for #y= x/((x+3)(x-4)#?

Question

Elijah Allen · Accepted Answer

#"vertical asymptotes at " x=-3" and " x=4#

#"horizontal asymptote at " y=0# The denominator of y cannot be zero as this would make y undefined. Equating the denominator yo zero and solving gives the values that x cannot be and if the numerator is non-zero for these values then they are vertical asymptotes. #"solve " (x+3)(x-4)=0# #rArrx=-3" and " x=4" are the asymptotes"# #"Horizontal asymptotes occur as"# #lim_(xto+-oo),ytoc" (a constant)"# #"divide terms on numerator/denominator by the highest power"# #"of x, that is " x^2# #y=(x/x^2)/(x^2/x^2-x/x^2-12/x^2)=(1/x)/(1-1/x-12/x^2)# as #xto+-oo,yto0/(1-0-0)# #rArry=0" is the asymptote"# graph{x/((x+3)(x-4)) [-10, 10, -5, 5]}

James Allen · Answer

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For horizontal asymptotes:
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For horizontal asymptotes:
1.To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

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For horizontal asymptotes:
1. If theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

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For horizontal asymptotes:
1. If the degree ofTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

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For horizontal asymptotes:
1. If the degree of theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

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For horizontal asymptotes:
1. If the degree of the numeratorTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator isTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

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For horizontal asymptotes:
1. If the degree of the numerator is lessTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

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For horizontal asymptotes:
1. If the degree of the numerator is less thanTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degreeTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

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For horizontal asymptotes:
1. If the degree of the numerator is less than the degreeTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree ofTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numeratorTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator isTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominatorTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is lessTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator,To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less thanTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, thereTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there isTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degreeTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is aTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree ofTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontalTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominatorTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote atTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator,To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at yTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontalTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y =To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptoteTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote isTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is yTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. IfTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degreesTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. IfTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees areTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equalTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degreesTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal,To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees areTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divideTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equalTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal,To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficientsTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divideTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients ofTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leadingTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numeratorTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficientsTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator andTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients ofTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominatorTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator toTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numeratorTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to findTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator andTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator toTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to findTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptoteTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontalTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3.To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptoteTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. IfTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. IfTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degreeTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree ofTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degreeTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree ofTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numeratorTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator isTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numeratorTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greaterTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator isTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater,To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greaterTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, thereTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater,To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there isTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, thereTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is noTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontalTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To findTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find obTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptoteTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find obliqueTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

ForTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotesTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For obTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes,To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For obliqueTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, performTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomialTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotesTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial longTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes,To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long divisionTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, useTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division onTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use longTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long divisionTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the functionTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division orTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomialTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. IfTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial divisionTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the resultTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divideTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result hasTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has aTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numeratorTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a nonTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator byTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zeroTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainderTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominatorTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder,To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator.To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, thereTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. TheTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there isTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotientTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is anTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtainedTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an obTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained willTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an obliqueTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will representTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptoteTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the obTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the obliqueTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. TheTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The obTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptoteTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The obliqueTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

PerformTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptoteTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform theseTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote isTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps toTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to findTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is the quotientTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to find theTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is the quotient obtainedTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to find the verticalTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is the quotient obtained from theTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to find the vertical, horizontalTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is the quotient obtained from the divisionTo find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to find the vertical, horizontal,To find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is the quotient obtained from the division.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to find the vertical, horizontal, andTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is the quotient obtained from the division.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to find the vertical, horizontal, and obTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is the quotient obtained from the division.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to find the vertical, horizontal, and obliqueTo find the vertical asymptotes, set the denominator equal to zero and solve for x. Any vertical asymptotes occur where the function is undefined.

To find the horizontal asymptote, compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote. If the degree of the numerator is greater, there is no horizontal asymptote.

To find oblique asymptotes, perform polynomial long division on the function. If the result has a non-zero remainder, there is an oblique asymptote. The oblique asymptote is the quotient obtained from the division.To find the vertical asymptotes, determine where the denominator equals zero, as these values will make the fraction undefined.

For horizontal asymptotes:
1. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at y = 0.
2. If the degrees are equal, divide the leading coefficients of the numerator and denominator to find the horizontal asymptote.
3. If the degree of the numerator is greater, there is no horizontal asymptote.

For oblique asymptotes, use long division or polynomial division to divide the numerator by the denominator. The quotient obtained will represent the oblique asymptote.

Perform these steps to find the vertical, horizontal, and oblique asymptotes for the given function $y = \frac{x}{(x + 3)(x - 4)}$.

Elijah Allen · Answer

undefined To find the vertical asymptotes of the function $ y = \frac{x}{(x+3)(x-4)} $, set the denominator equal to zero and solve for $ x $. This gives us the vertical asymptotes at $ x = -3 $ and $ x = 4 $.

To find the horizontal asymptote, compare the degrees of the numerator and denominator. Since the degree of the numerator is 1 and the degree of the denominator is 2, the horizontal asymptote is at $ y = 0 $.

For the oblique asymptote, perform polynomial long division or synthetic division to divide the numerator by the denominator. The quotient represents the oblique asymptote. In this case, dividing $ x $ by $ (x+3)(x-4) $ yields a quotient of $ 1 $, so the oblique asymptote is $ y = 1 $.