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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 only.

D

I, II, and III.

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