Solve the problem. 38) A trough at the end of a gutter spout is meant to direct water away fromn a house. The homeowner makes the trough from a rectangular piece of aluminum that is 24 in. long and 8 in. wide. He makes a fold along the two long sides a distance of 38) x inches from the edge. 24 in. 8- 2x a. Write a function to represent the volume in terms of x. b. What value of x will maximize the volume of water that can be carried by the gutter? nalyze the graph of the given function f as follows: Determine the end behavior of the graph of the function. Find the x- and y-intercepts of the graph. Determine whether the graph crosses or touches the x-axis at each x-intercept. Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning nts. X-S00thes 39-7-0(0 Find the domain of f. Use the graph to find the range of f. Use the graph to determine where f is increasing and where f is decreasing.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Please can you answer number 38

Solve the problem.
38) A trough at the end of a gutter spout is meant to direct water away fromn a house.
The homeowner makes the trough from a rectangular piece of aluminum that is
24 in. long and 8 in. wide. He makes a fold along the two long sides a distance of
38)
x inches from the edge.
24 in.
8- 2x
a. Write a function to represent the volume in terms of x.
b. What value of x will maximize the volume of water that can be carried by the
gutter?
nalyze the graph of the given function f as follows:
Determine the end behavior of the graph of the function.
Find the x- and y-intercepts of the graph.
Determine whether the graph crosses or touches the x-axis at each x-intercept.
Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning
nts.
X-S00thes
39-7-0(0
Find the domain of f. Use the graph to find the range of f.
Use the graph to determine where f is increasing and where f is decreasing.
Transcribed Image Text:Solve the problem. 38) A trough at the end of a gutter spout is meant to direct water away fromn a house. The homeowner makes the trough from a rectangular piece of aluminum that is 24 in. long and 8 in. wide. He makes a fold along the two long sides a distance of 38) x inches from the edge. 24 in. 8- 2x a. Write a function to represent the volume in terms of x. b. What value of x will maximize the volume of water that can be carried by the gutter? nalyze the graph of the given function f as follows: Determine the end behavior of the graph of the function. Find the x- and y-intercepts of the graph. Determine whether the graph crosses or touches the x-axis at each x-intercept. Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning nts. X-S00thes 39-7-0(0 Find the domain of f. Use the graph to find the range of f. Use the graph to determine where f is increasing and where f is decreasing.
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