A box is formed by cutting squares from the four corners of a 11"-wide by 15"-long sheet of paper and folding up the sides. Let a 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 = (11-2X)(15-2X)X 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) |(11-2X)(15-2X)X Preview c. What is the domain of f? Enter your answer as an interval. Hint. [0,11/2] Preview d. What is the range of f? Enter your answer as an interval. Hint. Tip: Use a graphing tool like www.Desmos.com 2 to find the maximum volume possible. 12x^2-104x+165 Preview Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

A box is formed by cutting squares from the four corners of a 11"-wide by 15"-long sheet of paper and folding up the sides. Let a 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 = (11-2X)(15-2X)X 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) |(11-2X)(15-2X)X Preview c. What is the domain of f? Enter your answer as an interval. Hint. [0,11/2] Preview d. What is the range of f? Enter your answer as an interval. Hint. Tip: Use a graphing tool like www.Desmos.com 2 to find the maximum volume possible. 12x^2-104x+165 Preview Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.2: Linear Functions And Applications

Problem 31PS

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