6.
What is the equation for the graphed piecewise function?

Answer:
D
Step-by-step explanation:
The open circle at the origin means the rightmost piece will have domain x > 0. That is only the case in choices C and D.
The middle piece has a negative slope. That is only the case in choice D.
The appropriate piecewise function is ...
[tex]f(x)=\begin{cases}-2,&\text{for }x\le-3\\-x+4,&\text{for }-30\end{cases}[/tex]