Answer
See graph
Work Step by Step
We are given the function:
$f(x)=\begin{cases}
4-x^2,x\lt -2\\
3+x,-2\leq x\lt 0\\
x^2+1,x\geq 0
\end{cases}$
The given function consists of three functions:
- the function $4-x^2$ defined on $(-\infty,-2)$
- the function $3+x$ defined on $[2,0)$
- the function $x^2+1$ defined on $[0,\infty)$
Graph the three functions:
