# How do you graph #y=-5/x-7# using asymptotes, intercepts, end behavior?

##### 1 Answer

See below:

#### Explanation:

We immediately notice that if our denominator is equal to zero, we'll be undefined and have a vertical asymptote at

Since we have a vertical asymptote, this means the graph never intercepts the

What about

Adding

Let's multiply both sides by

Dividing both sides by

This is where our graph intercepts the

Since we know our function has a vertical asymptote, we know it goes unbounded towards infinity. What about negative infinity?

Let's evaluate the following limit:

Since we will be dividing by a more and more negative number,

Putting together all we know about our function, we can graph!

graph{-5/x-7 [-9.71, 10.29, -10.42, 0]}