Answer
See graph
Work Step by Step
We are given the function:
$f(x)=\begin{cases}
4+x,x\leq 2\\
x^2+2,x\gt 2
\end{cases}$
The given function consists of two functions:
- the line $4+x$ defined on $(-\infty,2]$
- the parabola $x^2+2$ defined on $(2,\infty)$
Graph the two functions: