(5) Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers c which satisfy the conclusion of the Mean Value Theorem. . f(x) = 23 - 3x +2 on [-2, 2] . f (x) = = on [1, 3] (6) Let f(x) = 2 - |2x - 1). Show that there is no value c such that f(3) - f(0) = f'(c)(3 - 0 Why does this not contradict the Mean Value Theorem? (7) Show that the equation 2x - 1 - sin(x) = 0 has exactly one root