# How do I find the asymptotes of #f(x) = (3x^2 + 2x - 1 )/ (x + 1)#? Are there even any asymptotes?

##### 1 Answer

May 28, 2018

no asymptotes

#### Explanation:

Given:

This is a rational function of the form

Factor the numerator.

There is a removable discontinuity (a hole) at

There are no vertical, horizontal or slant asymptotes because of the hole.

The graph of the function is a line

Typically you will not see the hole unless you perform a Trace on a graphing calculator.

You won't have a

graph{(3x^2 + 2x -1)/(x+1) [-5, 5, -5, 5]}