# How do I find the vertical and horizontal asymptotes of the function #f(x)=(3x-1)/(x+4)#?

##### 1 Answer

Apr 3, 2018

See below.

#### Explanation:

Vertical asymptotes occur where the function is undefined.

This happens when

So the line

We next examine the end behaviour as

Starting with:

Divide by

Cancelling:

as

as

This show that the line

These findings are confirmed by the graph of