# How to find the asymptotes of #y = x /(x-3)# ?

##### 1 Answer

I found:

#### Explanation:

Looking at your function you can "see" a vertical asymptote,i.e., a vertical line towards which the graph of your function will tend to get near as much as possible.

You need to look for possible prohibited

In this case the prohibited

You can also "see" a horizontal asymptote,i.e., a horizontal line towards which the graph of your function will tend to.

This is a little more difficult but you can think big and imagine what happens to the graph of your function when

Let us take a

and evaluate your function there so you get:

because

So you get that the horizontal line passing through:

will be the line towards which the graph tends to get near as much as possible:

You can see graphically these two tendencies:

graph{x/(x-3) [-8.89, 8.89, -4.444, 4.445]}