A differentiable function g is defined on the real numbers

MATHEMATICS · Multi-part · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A differentiable function g is defined on the real numbers. Selected values of g and g′ are shown in the table below.
x012345
g(x)21−1−2−3−4
(a) Explain why F is strictly decreasing on the interval 2≤x≤5. (b) Without evaluating any definite integrals, determine which value is larger, F(3) or F(5), and justify your conclusion.

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