An open box is to be made from a flat piece of material 7 inches long and 6 inches wide by cutting equal squares of length xfrom the corners and folding up the sides.

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

V=

If we write the domain of the box as an open interval in the form (a,b), then what is a=?

a=

and what is b=?

b=