A continuous function satisfies the following: • on • on The areas between the graph…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A continuous function ff satisfies the following: • f(x)>0f(x)>0 on [0,2][0,2] • f(x)<0f(x)<0 on (2,5](2,5] • f(x)>0f(x)>0 on (5,6](5,6] The areas between the graph of ff and the xx-axis are 33 on [0,2][0,2], 77 on [2,5][2,5], and 22 on [5,6][5,6]. If FF is an antiderivative of ff with F(0)=4F(0)=4, at what xx-value in [0,6][0,6] does FF attain its absolute minimum?

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