Consider the function on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Consider the function f(x)=x3−3xf(x)=x^{3}-3x on the interval [−2,2][-2,2]. Find all values of cc in [−2,2][-2,2] for which f(c)f(c) equals the average value of ff on that interval.

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