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