The graph of a function consists of two line segments

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The graph of a function gg consists of two line segments. • For −4≤x≤0-4\le x\le 0, the segment has slope 22 and passes through (−4,−3)(-4,-3). • For 0≤x≤40\le x\le 4, the segment has slope −1-1 and passes through (0,5)(0,5). For which of the following values of xx is g′(x)g'(x) NOT defined? (a) x=−4x=-4 (b) x=2x=2 (c) x=0x=0 (d) x=−2x=-2

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