An open box is to be made from a flat piece of material 9 inches long and 4 inches wide by cutting equal squares of length from the corners and folding up the sides.

Write the volume of the box as a function of . Leave it as a product of factors, do not multiply out the factors.


If we write the domain of as an open interval in the form , then what is ?

and what is ?

You can earn partial credit on this problem.