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

1 Answer
Aviv S.
Jan 26, 2018

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

Explanation:

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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