A differentiable function satisfies and

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A differentiable function pp satisfies p′(2)=5p'(2)=5 and p′(5)=−2p'(5)=-2. Without performing any calculations, indicate whether the average rate of change of pp on [2,5][2,5] is positive, negative, or cannot be determined from this information, and briefly justify your answer.

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