Question

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = 5x^2 − 3x + 2, [0, 2]

Answer 1

I know it's satisfied.

Answer 2

If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem.

(Enter your answers as a comma-separated list. If it does not satisify the hypotheses, enter DNE).

Answer 3

I am stuck here.

Answer 4

I got f'(c) = 7