# How do you find the range of #f(x) = x^3 - 3x + 2#?

##### 1 Answer

Jul 7, 2015

Since the grade of the function is odd (3), there is no *absolute* maximum or minimum.

#### Explanation:

If you let

Or, in "the language":

The other way (down) works as well:

There are two local extremes though, which you can find by setting the derivative to zero:

Substituting in

graph{x^3-3x+2 [-13.7, 14.78, -4.39, 9.85]}