Answer:
The correct option is D.
Step-by-step explanation:
Domain is the set of all posible
The volume of a rectangular prism is
[tex]V=\text{Base area}\times height[/tex]
where,
[tex]\text{Base area}=length\times width[/tex]
Dimensions can not be negative. So, the width and volume are always positive.
From the graph it is noticed that
In interval [tex](-\infty, -5)[/tex], width and volume is negative, so [tex](-\infty, -5)[/tex] interval is not the domain.
In interval (-5,0), width is negative, so (-5,0) interval is not the domain.
In interval (0,3), volume is negative, so (0,3) interval is not the domain.
In interval [tex](3,\infty)[/tex], width and volume is negative, so [tex](3,\infty)[/tex] interval is not the domain.
Therefore the correct option is D.
