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

1 Answer
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.