A box is formed by cutting squares from the four corners of a 11"-wide by 13"-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 Preview x (11-2x) (13-2x) 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(11-2x) (13-2x) Preview c. What is the domain of f? Enter your answer as an interval. Hint. Preview no answer given d. What is the range of f? Enter your answer as an interval. Hint. Tip: Use a graphing tool like www.Desmos.com to find the maximum volume possible. Preview no answer given

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 18CT
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A box is formed by cutting squares from the four corners of a 11"-wide by 13"-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
Preview
x (11-2x) (13-2x)
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(11-2x) (13-2x)
Preview
c. What is the domain of f? Enter your answer as an interval. Hint.
Preview
no answer given
d. What is the range of f? Enter your answer as an interval. Hint.
Tip: Use a graphing tool like www.Desmos.com to find the maximum volume possible.
Preview
no answer given
Transcribed Image Text:A box is formed by cutting squares from the four corners of a 11"-wide by 13"-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 Preview x (11-2x) (13-2x) 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(11-2x) (13-2x) Preview c. What is the domain of f? Enter your answer as an interval. Hint. Preview no answer given d. What is the range of f? Enter your answer as an interval. Hint. Tip: Use a graphing tool like www.Desmos.com to find the maximum volume possible. Preview no answer given
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