Answer
See graph.
Work Step by Step
Step 1. Graph $f(x)=0,5x^2$ with $-4\le x\le-2$ as shown in the figure (red curve).
Step 2. Graph $f(x)=x$ with $-2\lt x\lt 2$ as shown in the figure (blue line).
Step 3. Graph $f(x)=x^2-4$ with $2\le x\le4$ as shown in the figure (green curve).