5:17 PM Thu Apr 9 * 53% For Exercises 290-38, sketch a graph that possesses the characteristics listed. Answers тау vary. 29. fis decreasing and concave up on (– ∞, 2), fis decreasing and concave down on (2, ∞). 30. fis increasing and concave up on (- ∞, 4), fis increasing and concave down on (4, ∞). 31. fis decreasing and concave down on (– 0, 3), fis decreasing and concave up on (3, ). 32. fis increasing and concave down on (– o, 1), fis increasing and concave up on (1, o). 33. fis concave up at (1, – 3), concave down at (8, 7), and has an inflection point at (5, 4). 34. fis concave down at (1, 5), concave up at (7, – 2), and has an inflection point at (4, 1). 35. f (- 3) = 0, f" (- 3) < 0, ƒ(- 3) = 8; ƒ (9) = 0, f' (9) > 0, f(9) = – 6; f" (2) = 0, and f(2) = 1 36. f (- 1) = 0, f' (- 1) > 0, f(- 1) = – 5; f (7) = 0, ƒ° (7) < 0, ƒ(7) = 10; f (3) = 0, and f(3) = 2 37. f (0) = 0, f (0) < 0, f(0) = 5; ƒ (2) = 0, ƒ' (2) > 0, f(2) = 2; ƒ (4) = 0, ƒ' (4) < 0, and f(4) 38. f (- 1) = 0, s (- 1) > 0, f(– 1) = – 2; f (1) = 0, s' (1) > 0, f(1) = - 2; ƒ (0) = 0, f' (0) < 0, and f(0) = 0 %3D Applications Business and Economics 39. Labor force. The percentage of the U.S. civilian labor force aged 45-54 can be modeled by the function f given by fx) = - 0.0115x² + 0.125x + 81.7,
5:17 PM Thu Apr 9 * 53% For Exercises 290-38, sketch a graph that possesses the characteristics listed. Answers тау vary. 29. fis decreasing and concave up on (– ∞, 2), fis decreasing and concave down on (2, ∞). 30. fis increasing and concave up on (- ∞, 4), fis increasing and concave down on (4, ∞). 31. fis decreasing and concave down on (– 0, 3), fis decreasing and concave up on (3, ). 32. fis increasing and concave down on (– o, 1), fis increasing and concave up on (1, o). 33. fis concave up at (1, – 3), concave down at (8, 7), and has an inflection point at (5, 4). 34. fis concave down at (1, 5), concave up at (7, – 2), and has an inflection point at (4, 1). 35. f (- 3) = 0, f" (- 3) < 0, ƒ(- 3) = 8; ƒ (9) = 0, f' (9) > 0, f(9) = – 6; f" (2) = 0, and f(2) = 1 36. f (- 1) = 0, f' (- 1) > 0, f(- 1) = – 5; f (7) = 0, ƒ° (7) < 0, ƒ(7) = 10; f (3) = 0, and f(3) = 2 37. f (0) = 0, f (0) < 0, f(0) = 5; ƒ (2) = 0, ƒ' (2) > 0, f(2) = 2; ƒ (4) = 0, ƒ' (4) < 0, and f(4) 38. f (- 1) = 0, s (- 1) > 0, f(– 1) = – 2; f (1) = 0, s' (1) > 0, f(1) = - 2; ƒ (0) = 0, f' (0) < 0, and f(0) = 0 %3D Applications Business and Economics 39. Labor force. The percentage of the U.S. civilian labor force aged 45-54 can be modeled by the function f given by fx) = - 0.0115x² + 0.125x + 81.7,
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Topic Video
Question
#29, #33, #35
Transcribed Image Text:5:17 PM Thu Apr 9
* 53%
For Exercises 290-38, sketch a graph that possesses the characteristics listed. Answers
тау vary.
29. fis decreasing and concave up on (– ∞, 2),
fis decreasing and concave down on (2, ∞).
30. fis increasing and concave up on (- ∞, 4),
fis increasing and concave down on (4, ∞).
31. fis decreasing and concave down on (– 0, 3),
fis decreasing and concave up on (3, ).
32. fis increasing and concave down on (– o, 1),
fis increasing and concave up on (1, o).
33. fis concave up at (1, – 3), concave down at (8, 7), and has an inflection point
at
(5, 4).
34. fis concave down at (1, 5), concave up at (7, – 2), and has an inflection point
at
(4, 1).
35. f (- 3) = 0, f" (- 3) < 0, ƒ(- 3) = 8; ƒ (9) = 0, f' (9) > 0, f(9) = – 6; f" (2) = 0,
and f(2) = 1
36. f (- 1) = 0, f' (- 1) > 0, f(- 1) = – 5; f (7) = 0, ƒ° (7) < 0, ƒ(7) = 10; f (3) = 0,
and f(3) = 2
37. f (0) = 0, f (0) < 0, f(0) = 5; ƒ (2) = 0, ƒ' (2) > 0, f(2) = 2; ƒ (4) = 0, ƒ' (4) < 0,
and f(4)
38. f (- 1) = 0, s (- 1) > 0, f(– 1) = – 2; f (1) = 0, s' (1) > 0, f(1) = - 2; ƒ (0) = 0, f' (0) < 0,
and f(0) = 0
%3D
Applications
Business and Economics
39. Labor force. The percentage of the U.S. civilian labor force aged 45-54 can
be modeled by the function f given by
fx) = - 0.0115x² + 0.125x + 81.7,
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