Answer
See graph
Work Step by Step
We are given the function:
$g(x)=\begin{cases}
x+6,x\leq -4\\
\dfrac{1}{2}x-4,x\gt 4
\end{cases}$
The function consists of two functions:
- the line $x+6$ defined on $(-\infty,-4]$
- the line $\dfrac{1}{2}x-4$ defined on $(-4,\infty)$
Graph the two functions:
