Consider the function f(x)=2x^3-9x^2-24x+4 on the interval [−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) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is:    and the larger one is:

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