Find the Absolute Maximum and Absolute Minimum Values, If Any $f(x)=5+9 \sin 2 x$

Multiple Choice

Find the absolute maximum and absolute minimum values, if any, of the function $f(x) =5+9 \sin 2 x$ on $\left[0, \frac{\pi}{2}\right]$ .

A) Abs. max. $f\left(\frac{\pi}{2}\right) =14$
Abs) min. $f(0) =5$
B) Abs. max. $f\left(\frac{\pi}{6}\right) =9$
Abs) min. $f(0) =f\left(\frac{\pi}{2}\right) =5$
C) Abs. max. $f\left(\frac{\pi}{4}\right) =14$
Abs) min. $f(0) =f\left(\frac{\pi}{2}\right) =5$
D) Abs. max. $f\left(\frac{\pi}{3}\right) =9$
Abs) min. $f(0) =5$