# Given the function #f(x)=x/(x+9)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,4] and find the c?

##### 1 Answer

May 24, 2017

Please see below.

#### Explanation:

The Mean Value Theorem has two Hypotheses.

A hypothesis is satisfied if it is true.

**H1:** The function must be continuous on

So, ask your self where

**H2:** The function must be differentiable on

Find

To (try to) find the

set

Since the conclusion asserts the existence of a