Graph g(x)=6 if x<-1; x^2-3 if -1<=x<=3; 6 if x>3

$g (x) = {\begin{cases} 6 & x < - 1 \\ x^{2} - 3 & - 1 \leq x \leq 3 \\ 6 & x > 3 \end{cases}$

Step 1

Graph.

$g (x) = {\begin{cases} 6 & x < - 1 \\ x^{2} - 3 & - 1 \leq x \leq 3 \\ 6 & x > 3 \end{cases}$

Step 2