Problem I. (1 point) Consider the function f {x} : 1 1:2 on the interval [3,4]. Find the average rate of change of the function on this interval. i.e. f{4}-f(-3) _ 4-(3) _ By the Mean Value Theorem, we know there exists a c in the open interval (3.4) such that f'(c) is equal to this average rate of change. For this problem, there is only one c that works. Find this value of c. c : Problem 2. (1 point) Consider the function J((Jnc) = 1 on the interval [31 10]. Find the J: average rate of change of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (3, 10) such that f'(c) is equal to this average rate of change. For this problem, there is only one c that works. Find this value of c. r : Problem 3. (1 point) Consider the function x) = -3.r3+x2+ 3x3 Find the average rate of change of this function on the interval (- l, l). By the Mean Value Theorem, we know there exists a c in the open interval {1,1) such that f'(c) is equal to this average rate of change. Find the two values of c in the interval which work. enter the smaller root rst: