The function is continuous on the closed interval and has critical points at and

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The function gg is continuous on the closed interval [−4,6][-4,6] and has critical points at x=−1x=-1 and x=3x=3. Which of the following lists includes every xx-value that must be examined to determine the absolute extrema of gg on [−4,6][-4,6]? (a) x=−1, 3x=-1,\,3 only (b) x=−4, 6x=-4,\,6 only (c) x=−4, −1, 3, 6x=-4,\,-1,\,3,\,6 (d) x=−4, −1, 0, 3, 6x=-4,\,-1,\,0,\,3,\,6

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