# How do you find the range of #f(x)=(2x^2 -1) / ( x^2 +1)#?

##### 1 Answer

Jul 23, 2015

You first look for restriction in the domain. In this there are none, since the denominator will always be at least

#### Explanation:

The minimum value this function can reach is when

The maximum is when

So the range is

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