Question: Consider the function f(ac) = 2x3 - 5x on the interval [-3, 3). Find the average or mean slope of the function on this interval.


Consider the function f(ac) = 2x3 - 5x on the interval [-3, 3). Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (-3, 3) 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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