If the function is monotonic for all values of

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

If the function

y=\sin(f(x))

is monotonic for all values of

x

, where

f(x)

is continuous, then the maximum difference between the maximum and minimum values of

f(x)

is (1)

\pi

(2)

2\pi

(3)

\frac{\pi}{2}

(4) None of these