A continuous function satisfies the sign pattern • on and • at • on Let

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A continuous function ff satisfies the sign pattern • f(x)>0f(x)>0 on (−4,−2)(-4,-2) and (1,5)(1,5) • f(x)=0f(x)=0 at x=−4,−2,1,5x=-4,-2,1,5 • f(x)<0f(x)<0 on (−2,1)(-2,1) Let F(x)=∫−4xf(t) dtF(x)=\int_{-4}^{x} f(t)\,dt. Identify the open intervals where FF is increasing and the open intervals where FF is decreasing.

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