A differentiable function is defined on and has exactly two critical numbers at and

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

Problem

A differentiable function pp is defined on [−4,3][-4,3] and has exactly two critical numbers at x=−1x=-1 and x=2x=2. Explain, without calculating any function values, why no other points in the interval need to be checked when determining the absolute extrema of pp on [−4,3][-4,3].

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