THEOREM 4.4 Mean Value Theorem If f is continuous on the closed interval [a, b] and differentiable on (a, b), then there is at least one point c in (a, b) such that f (b) - f(a) = f' (c). b - a 3. For each function f and interval [a, b], find all points c in [a, b] satisfying the MVT. (1) f(x) = 1+ x2 /4 on [-2, 4). (2) f(I) = 2Vx on [0, 4]. (3) f(x) = 15 /16 on [-2, 2]