The Largest Set on Which the Function $f ( x ) = 3 \sin x$

Multiple Choice

The largest set on which the function $f ( x ) = 3 \sin x$ on $[ 0,2 \pi ]$ is increasing is

A) $\left( 0 , \frac { \pi } { 2 } \right)$
B) $\left( \frac { \pi } { 2 } , \pi \right)$
C) $\left( \pi , \frac { 3 \pi } { 2 } \right)$
D) $\left( 0 , \frac { \pi } { 2 } \right) \cup \left( \frac { 3 \pi } { 2 } , 2 \pi \right)$
E) $( 0,2 \pi )$