Theres three parts to this question

Consider the function f(x)=2x3-9x2-24x+4 on the interval [5,8][-5,8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a cc in the open interval (5,8) such that f'(c)f(c) is equal to this mean slope. For this problem, there are two values of cc that work. The smaller one is and the larger one is