Let $h(x)=\begin{cases}\displaystyle{5}&\text{if}\ x \le 0\cr \displaystyle{2-x^{2}}&\text{if}\ 0 < x < 5\cr \displaystyle{3x-4}&\text{if}\ 5 < x\end{cases}$.

a) Evaluate the following:
i) $h(-3)=$
ii) $h(0)=$
iii) $h\left(\frac{1}{2}\right)=$
iv) $h(2) =$
v) $h(6)=$

b) What is the domain of this function?
Domain:

Hint: