Let Then which of the following is not true?

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

Problem

Let f(x)={min⁡{x,x2},x≥0max⁡{2x,x2−1},x<0f(x) = \begin{cases} \min\{x, x^2\}, & x \geq 0 \\ \max\{2x, x^2 - 1\}, & x < 0 \end{cases} Then which of the following is not true? (a) f(x)f(x) is continuous at x=0x = 0 (b) f(x)f(x) is not differentiable at x=1x = 1 (c) f(x)f(x) is not differentiable at exactly three points (d) None of these.

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