Question

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`.

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.