This question is designed to be answered without a calculator. Use the four intervals shown. I. (0, 2) ||. (0, 2] III. [0, 2) IV. [0, 2] Based on the extreme value theorem, on which interval must the function f(x) = x3 1 have both a maximum and minimum value? | II III IV This question is designed to be answered without a calculator. What value of c satisfies the conclusion of the mean value theorem for f()() = (X 1)2 over the interval [0, 5]? 2.5 4 8.5 10