# How do you determine whether #f(x) = sqrt( 2x + 3 ) -1# satisfies the hypotheses of the Mean Value Theorem on the interval [3,11] and find all value(s) of c that satisfy the conclusion of the theorem?

##### 1 Answer

The Mean Value Theorem has two hypotheses:

**H1** :

**H2** :

In this question,

This function is continuous on its domain,

So

Therefore,

To do the additional algebra problem,

find

Set

Any solution in

(If you need help with the arithmetic or the algebra, let us know.)