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AP® Calculus AB-BC

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Continuous, Not Differentiable?

APCALC-9GGKNZ

Which of the following functions are continuous but not differentiable at $x=1$?

I. $y=\sqrt[3]{x-1}$
II. $y=|1-x|$
III. $y=(1-x) \cdot |1-x|$
IV. $y = \frac{1}{x-1}$

A

I only

B

I and II only

C

I, II and III only

D

I, II, III and IV