Consider the function f(x)= cases |x+2|,& x< -1 x^ 2 ,& -1 x<2 4-x,& x 2 cases

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

Problem

Consider the function f(x)={∣x+2∣,x<−1x2,−1≤x<24−x,x≥2.f(x)=\begin{cases}|x+2|,& x< -1\\ x^{2},& -1\le x<2\\ 4-x,& x\ge 2\end{cases}. At how many points on the real line is ff not differentiable? (a) 2 (b) 4 (c) 3 (d) 5

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