Beginning with a square sheet of cardboard with 8-inch sides, Hannah is going to cut square corners out and then fold up the flaps to make an open box. If x is the length of the sides of the square corners, then the area of the base of her box will be A = 4x2 -32x + 64. What is the DOMAIN of this function?

Question

Beginning with a square sheet of cardboard with 8-inch sides, Hannah is going to cut square corners out and then fold up the flaps to make an open box. If x is the length of the sides of the square corners, then the area of the base of her box will be   A = 4x2 -32x + 64.  What is the DOMAIN of this function?

radar · Answer

Keeping in mind all that you have is an 8 in. square cardboard, you can see that x can not exceed 4 in, if it did you would not have any base left.  Also you can not have negative values. x has to be 0>x<4.

radar · Answer

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