# How do you graph #y=(3x^2)/(x^2-9)# using asymptotes, intercepts, end behavior?

##### 1 Answer

Nov 23, 2016

Horizontal asymptote: y = 0 and vertical ones are

#### Explanation:

graph{y(x^2-9)-3x^2=0 [-40, 40, -20, 20]}

By actual division and rearrangement,

To get asymptotes, See that,

form, so that the limit exists as 27.

Easily, you could sort ouy the equations to the ayymptotes by setting

the factors on the LHS to 0.

Answer:

Horizontal asymptote is y = 0 and the vertical ones are

In

In

.

In