Question 265136
 produce a one component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines to form a U shape.
:
A. Express the volume of the file as a function of the height x, in inches, of the file.
Height is given as x, therefore the width = (14-2x): x|__|x  is the shape
Vol = x*(14-2x)*8
V = (-2x^2 + 14x) * 8
V = -16x^2 + 112x
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B. Find the domain of the function.
Looking at the expression (14-2x), the domain has to be >0 and <7