AP

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

Problem

If f(x)={ex;x≤0∣1−x∣;x>0f(x) = \begin{cases} e^x; & x \leq 0 \\ |1-x|; & x > 0 \end{cases} , then (a) f(x)f(x) is differentiable at x=0x=0 (b) f(x)f(x) is continuous at x=0x=0 (c) f(x)f(x) is differentiable at x=1x=1 (d) f(x)f(x) is not continuous at x=1x=1

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