Consider the function f(x) = 6 6:32 on the interval [1, 8]. Find the average rate of change of the function on this interval, i.e. f(8) f(1) _ 8 (1) C] By the Mean Value Theorem, we know there exists a c in the open interval (1, 8) 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=D Consider the function at) 2 i on the interval [5,9]. Find the average rate of change of the function on this interval. C] By the Mean Value Theorem, we know there exists a c in the open interval (5, 9) 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. FD Consider the function f(ac) = 23 - 4x + 2x+4 Find the average rate of change of this function on the interval (3, 5). 19 By the Mean Value Theorem, we know there exists a c in the open interval (3, 5) such that f (c) is equal to this average rate of change. Find the value of c in the interval which works 4 - V 67 3