Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then

Question:

Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers c that satisfy the conclusion of the Mean Value Theorem.
(a) f(x) = 2x2 - 3x + 1,............[0, 2]
(b) f(x) = In x,.......................[1, 4]