In Exercises 17-32, sketch the region bounded by the graphs of the algebraic functions and find the area of the region. 17. y = r + 2, y = x + 1, x = 0, x = 2 -x - 8), y = 10 – žx, x = 2, x = 8 18. y = 19. f(x) = x² – 4x, g(x) = 0 20. f(x) = -x² + 4x + 1, g(x) = x + 1 21. f(x) = x² + 2x + 1, g(x) = 3x + 3 22. f(x) = -x² + 4x + 2, g(x) = x + 2 23. y = x, y = 2 - x, y = 0 %3D 24. y = y = 0, x = 1, x = 5 25. f(x) = /3x + 1, g(x) = x + 1 26. f(x) = 3/x – 1, g(x) = x – 1 27. f(y) = y?, g(y) = y + 2 28. f(y) = y(2 – y), g(y) = -y 29. f(y) = y² + 1, g(y) = 0, y = -1, y = 2 %3D 30. f(y) = y g(y) = 0, y = 3 %3D 16 – y2" 10 31. f(x) x = 0, y = 2, y = 10 %3D 4 32. g(x) 2- x' y = 4, x = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 40E
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Question 32. Please explain as detail as possible, thanks.

In Exercises 17-32, sketch the region bounded by the graphs of
the algebraic functions and find the area of the region.
17. y = r + 2, y = x + 1, x = 0, x = 2
-x - 8), y = 10 – žx, x = 2, x = 8
18. y =
19. f(x) = x² – 4x, g(x) = 0
20. f(x) = -x² + 4x + 1, g(x) = x + 1
21. f(x) = x² + 2x + 1, g(x) = 3x + 3
22. f(x) = -x² + 4x + 2, g(x) = x + 2
23. y = x, y = 2 - x, y = 0
%3D
24. y =
y = 0, x = 1, x = 5
25. f(x) = /3x + 1, g(x) = x + 1
26. f(x) = 3/x – 1, g(x) = x – 1
27. f(y) = y?, g(y) = y + 2
28. f(y) = y(2 – y), g(y) = -y
29. f(y) = y² + 1, g(y) = 0, y = -1, y = 2
%3D
30. f(y) =
y
g(y) = 0, y = 3
%3D
16 – y2"
10
31. f(x)
x = 0, y = 2, y = 10
%3D
4
32. g(x)
2- x'
y = 4, x = 0
Transcribed Image Text:In Exercises 17-32, sketch the region bounded by the graphs of the algebraic functions and find the area of the region. 17. y = r + 2, y = x + 1, x = 0, x = 2 -x - 8), y = 10 – žx, x = 2, x = 8 18. y = 19. f(x) = x² – 4x, g(x) = 0 20. f(x) = -x² + 4x + 1, g(x) = x + 1 21. f(x) = x² + 2x + 1, g(x) = 3x + 3 22. f(x) = -x² + 4x + 2, g(x) = x + 2 23. y = x, y = 2 - x, y = 0 %3D 24. y = y = 0, x = 1, x = 5 25. f(x) = /3x + 1, g(x) = x + 1 26. f(x) = 3/x – 1, g(x) = x – 1 27. f(y) = y?, g(y) = y + 2 28. f(y) = y(2 – y), g(y) = -y 29. f(y) = y² + 1, g(y) = 0, y = -1, y = 2 %3D 30. f(y) = y g(y) = 0, y = 3 %3D 16 – y2" 10 31. f(x) x = 0, y = 2, y = 10 %3D 4 32. g(x) 2- x' y = 4, x = 0
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