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# Identify Function Types, Differentiable Inverse

APCALC-14FFQW

A function $g(x)$ is defined for all real numbers. The function $g$ will not have a differentiable inverse if:

I. $g$ is periodic
II. $g$ is an even function
III. $g$ is a constant function

A

I only

B

I and II only

C

II and III only

D

I, II and III