# Using the principle of the mean-value theorem on the indicated interval, how do you find all numbers c that satisfy the conclusion of the theorem #f(x) = x³ + 5x² - 2x - 5#; [-1, 2]?

##### 1 Answer

Dec 18, 2016

The answer is

#### Explanation:

The function

By the mean value theorem,

Also,

But,

Therefore,

So,

But only