For each of the following functions, state whether it is even or odd or periodic. If periodic, what is its smallest period?
- $\sin ax \quad (a>0)$
- $e^{ax} \quad (a>0)$
- $x^m \quad (m= \text{ integer})$
- $\tan x^2$
- $|\sin (x/b)| \quad (b>0)$
- $x\cos ax \quad (a>0)$