Let . Which statement best describes the behavior of at…

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

Problem

Let g(x)=∣x−2∣+1g(x)=|x-2|+1. Which statement best describes the behavior of gg at x=2x=2? (a) gg is continuous and differentiable at x=2x=2 (b) gg is continuous but not differentiable at x=2x=2 (c) gg is not continuous but is differentiable at x=2x=2 (d) gg is neither continuous nor differentiable at x=2x=2

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