# How do you graph #y=(x^2-4)/(x^2+3)# using asymptotes, intercepts, end behavior?

##### 1 Answer

Oct 26, 2016

#### Answer:

Only a horizontal asymptote

Intercepts are

minimum at

And limit

#### Explanation:

We start by finding the Domain

Here it is

So there is no horizontal asymptote

The intercepts are

and

The we look for symmetry,

So thre is symmetry about the y axis

limit

limit

So

We can calculate the first derivative

So there is a minimum at

graph{(x^2-4)/(x^2+3) [-8.89, 8.89, -4.444, 4.445]}