# How do you find all the asymptotes for function #F(x)=(x^2+x-12)/(x^2-4)#?

##### 1 Answer

Oct 6, 2015

We first factorize:

#### Explanation:

If either of the denominator-factors get closer to

The whole function now becomes:

Which cannot be further reduced.

So the **vertical asymtotes** are at

Since the grade and factor of the highest power are the same, the function will tend to

So the **horizontal asymptote** is

graph{(x^2+x-12)/(x^2-4) [-28.9, 28.85, -14.43, 14.45]}