# How do you find the asymptotes for #f(x)=(x+3)/(x-1) #?

##### 1 Answer

I found:

Vert.

Horiz.

#### Explanation:

When you see this kind of functions (division between two expressions both with

The denominator CANNOT BO EQUAL TO ZERO! In this case there is only one possibility to be zero, i.e., when:

This expression represents a vertical line passing through

The graph of your function will tend to get near to this vertical line as much as possible (never touching it though!).

Next we look at the behaviour of your function for big values of the variable

let use

using this value you can see that

This happens when you increase further

your HORIZONTAL asymptote.

Graphically you can see them:

graph{(x+3)/(x-1) [-10, 10, -5, 5]}