# Given the function #f(x) = 2x^2 − 3x + 1#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [0,2] and find the c?

##### 1 Answer

Nov 29, 2016

To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.

#### Explanation:

As

To find the value of

Hence:

and