# How do you find all the asymptotes for function #y=1/(2x+4)#?

##### 1 Answer

Jan 28, 2016

The function will have a vertical and horizontal asymptotes.

#### Explanation:

This function has two asymptotes:

a **vertical asymptote** , corresponding to the vertical line passing through the

when:

and:

So the vertical line of equation

a **horizontal asymptote** that can be found observing the behaviour of the function when

As

The horizontal line of equation

Graphically we can see them:

graph{1/(2x+4) [-10, 10, -5, 5]}