5. Designs Unlimited plans to produce a one component vertical file by bending the long side of an 8 in by 14 in sheet of plastic along two lines to form al shape. a. Express the volume of the file as a function of the height x , in inches, of the file. b. Find the domain of the function. c. Graph the function. d. How tall should the file be in order to maximize the volume that the file can hold?
5. Designs Unlimited plans to produce a one component vertical file by bending the long side of an 8 in by 14 in sheet of plastic along two lines to form al shape. a. Express the volume of the file as a function of the height x , in inches, of the file. b. Find the domain of the function. c. Graph the function. d. How tall should the file be in order to maximize the volume that the file can hold?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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Designs Unlimited plans to produce a one component vertical file by bending the long side of an 8 in by 14 in a sheet of plastic along two lines to form a shape.
a. Express the volume of the file as a function of the height x , in inches, of the file.
b. Find the domain of the function.
c. Graph the function.
d. How tall should the file be in order to maximize the volume that the file can hold?
Transcribed Image Text:5. Designs Unlimited plans to produce a one component vertical file by bending
the long side of an 8 in by 14 in sheet of plastic along two lines to form a|
shape.
a. Express the volume of the file as a function of the height x , in inches, of the
file.
b. Find the domain of the function.
c. Graph the function.
d. How tall should the file be in order to maximize the volume that the file can
hold?
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