Packaging. A candy box will be made out of a piece of cardboard that measures 8 by 12 in....

Packaging. A candy box will be made out of a piece of cardboard that measures 8 by 12 in. Equal-sized squares x inches on a side will be cut out of each corner, and then the ends and sides will be folded up to form a rectangular box.

(A) Express the volume of the box V(x) in terms of x.

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(B) What is the domain of the function v (determined by the physical restrictions)?

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(C) Complete Table 1.

Table 1 Volume

x	V(x)
1
2
3

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(D) Plot the points in part (C) and sketch a graph of the volume function using these points.