(1 point) Consider the function f(T) = { on the interval [3, 7]. Find the 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, 7) 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= (1 point) Consider the function f(x) = –23 + 3x2 + 2x + 2 Find the average rate of change of this function on the interval (-3,0). By the Mean Value Theorem, we know there exists a c in the open interval (-3,0) such that f'(c) is equal to this average rate of change. Find the value of c in the interval which works