# How do you graph #f(x)=-2/(x^2+x-2)# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

Vertical asymptote: At

Horizontal asymptote: At

X-intercept: None

Y-intercept: At

Holes: None

#### Explanation:

To find the holes and vertical asymptotes, we first study the denominator.

We have

The asymptotes are found when the answer is

So,

There are vertical aymptotes at

To find the horizontal asymptotes, we must look at the degree of the numerator (

If

If

If

Here,

Therefore, there is no x-intercept.

The y-intercept is found by taking all

Doing so,

The y-intercept is at

There are no holes.