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What are the asymptotes of #y=-2/(x+1)# and how do you graph the function?

Answer 1

The only asymptote is at #x=-1#.

To find out where the asymptotes of a rational function are, take the denominator, set it equal to 0, then solve for #x#. That is where your asymptotes will be because that is where the function is undefined. For instance:

#y=(-2)/color(red)(x+1)=>#

#x+1=0=>#

#x=-1#

To graph the function, first, draw the asymptote at #x=-1#. Then, test some #x#-values and plot their corresponding #y#-values.

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Answer 2

Savannah Anderson

The asymptotes of the function y=-2/(x+1) are a vertical asymptote at x=-1 and no horizontal asymptote. To graph the function, plot points on the graph by choosing different values for x and calculating the corresponding y-values. Connect the points to form a smooth curve.

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Answer from HIX Tutor

When evaluating a one-sided 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.