A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and folding up the sides. Let x represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of x. V = x(7-2x)(9-2x) Preview b. Suppose the function f determines the volume of the box (in cubic inches) given a cutout length (in inches). Write a function formula for f. f(x) = x(7-2x)(9-2x) Preview x(7 – 2x)(9 – 2x) syntax ok c. What is the domain of f? Enter your answer as an interval. Hint. (0,3.5) Preview d. What is the range of f? Enter your answer as an interval. Hint. (0,4.5) Preview Answer: (7 – 2æ)(9 – 2x)(x) Answer: (7 – 2æ)(9 – 2x)(x) Answer: [0, 3.5] or (0, 3.5) Answer: 0, 36.6081] or (0, 36.6081) |

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