How to find the asymptotes of #y=22/(x+13)10#?
The denominator of y cannot be zero as this would make y undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is nonzero for this value then it is a vertical asymptote.
Horizontal asymptotes occur as
divide terms on numerator/denominator by x
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To find the asymptotes of ( y = \frac{22}{x + 13}  10 ), follow these steps:
 Determine the vertical asymptotes by identifying the values of ( x ) that make the denominator equal to zero.
 Determine the horizontal asymptote by observing the behavior of the function as ( x ) approaches positive or negative infinity.
For the given function:

Vertical asymptote: Set the denominator ( x + 13 ) equal to zero and solve for ( x ). ( x + 13 = 0 ) ( x = 13 )
Therefore, there is a vertical asymptote at ( x = 13 ).

Horizontal asymptote: As ( x ) approaches positive or negative infinity, the function approaches its horizontal asymptote. Since the highest power of ( x ) in the numerator and denominator is 1, the horizontal asymptote is determined by the ratio of the leading coefficients.
The horizontal asymptote is given by: ( y = \frac{22}{1
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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