Find average or mean slope of the function on given interval

Reference no: EM131011050

Consider the function f(x) = 7 - 3x² on the interval [-2, 4].

A) Find the average or mean slope of the function on this interval, i.e. f(4)- f(-2) 4 - (-2)=?

B) By the Mean Value Theorem, we know there exists a c in the open interval (-2, 4) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Reference no: EM131011050

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