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