SOLUTION
Step1: write out the function
[tex]f(x)=\begin{cases}-x+1.\text{ -10}\leq x<-3 \\ x^2-9.\text{ -3}\leq x\leq3 \\ 2x+1.\text{ 3}\leq x\leq5\end{cases}[/tex]
To plot the graph of a piecewise function, we plot each of the functions on the graph using the condition for each function
For the piecewise function above the graph is given below
