Answer
See graph
Work Step by Step
We are given the function:
$f(x)=\begin{cases}
2x+2,\text{ if }x<0\\
x+2,\text{ if }0\leq x\leq 2\\
3-\frac{x}{2},\text{ if }x>2
\end{cases}$
We graph $y=2x+2$ for $x\in(-\infty,0)$, then $y=x+2$ for $x\in [0,2]$ and $y=3-\frac{x}{2}$ for $x\in(2,\infty)$:
