Question: Consider the function f(x)=2x3-12x2-72x+3 on the interval -5,8. Find the average or mean slope of the function on this interval.By the Mean Value Theorem, we

Consider the function f(x)=2x3-12x2-72x+3 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 c 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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