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AP® Calculus AB-BC

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Functions and Inverses

APCALC-Y8LLHY

For which of the following functions are both the original function and its inverse increasing for all $x \ne 0$?

I. $ f( x ) =\sqrt { |x|} $
II. $ f( x ) =- \cfrac {1}{x}$
III. $ f( x ) ={ x }^{ \frac{1}{3}}$

A

I only

B

II only

C

II and III

D

I, II and III