Increasing and Decreasing Functions

$\left(-\infty,\ 2\right)$

$\left(2,\ \infty\right)$

$\left(-\infty,\ \infty\right)$

none of these

 $\left(\frac{\pi}{6},\ \frac{\pi}{2}\right]$  

 $\left[0,\ \frac{\pi}{6}\right)$  

 $\left[0,\ \frac{\pi}{3}\right)$  

 $\left(\frac{\pi}{3},\ \frac{\pi}{2}\right]$  

$\left(0,\ 1\right)$

$\left(0,\ \infty\right)$

$\left(1,\ \infty\right)$

$\left(-\infty,\ \infty\right)$

increasing

decreasing

increasing and decreasing both

neither increasing nor decreasing

 $\left(-2,\ 0\right)$  

 $\left(-\infty,\ \infty\right)$  

 $\left(2,\ \infty\right)$  

 $\left(0,\ 2\right)$  

$\left(-\frac{\pi}{3},\ \frac{\pi}{3}\right)$

$\left(\frac{\pi}{3},\ \frac{\pi}{2}\right)$

$\left(-\frac{\pi}{2},\ -\frac{\pi}{3}\right)$

none of these

 $\left(1,\ \infty\right)$  

 $\left(-\infty,\ 0\right)$  

 $\left(0,\ 1\right)$  

none of these

$\left[-1,\ \infty\right)$

$\left[-2,\ -1\right]$

$\left(-\infty,\ -2\right]$

$\left[-1,\ 1\right]$

$1<x<3$

$x<0$

$x>0$

$0<x<\frac{3}{2}$

 $\sin2x$  

 $\tan x$  

 $\cos x$  

 $\cos3x$