Sketch the graph of each function. Indicate where each func- tion is increasing or decreasing, where any relative extrema occur, where asymptotes occur, where the graph is concave up or concave down, where any points of inflection occur, and where any intercepts occur. 23. f(x) = 24. f(x) -2 25. f(х) %3D x - 5 1 26. f(x) X- 5 1 27. f(x) 28. f(x) 3 x + 2 -2 -3 29. fх) 30. f(x) x + 5 x - 3 2x +1 Зх — 1 31. f(x) = 32. f(x) = 2 33. f(x) %3D х + 34. f(x) = x + 35. f(x) = 36. (х) 37. f(x) =- 3 38. f(x) x +2 1 -1 39. (х) 40. f(x) x + 3 x2 + 2 x + 3 (Hint: Simplify.) 41. f(x) = x - 9 42. f(x) 43. (х) 44. f(x) x + 2 2 - 9 x +1 45. f(x) 46. f(x) x +1 x + 3 x- 3 x +1 47. f(х)%3D 48. f(x) x2 + 2x - 15 2х - 3 x² + x - 2 2x - 2 49. (х) — 2- 16 50. f(x)
Sketch the graph of each function. Indicate where each func- tion is increasing or decreasing, where any relative extrema occur, where asymptotes occur, where the graph is concave up or concave down, where any points of inflection occur, and where any intercepts occur. 23. f(x) = 24. f(x) -2 25. f(х) %3D x - 5 1 26. f(x) X- 5 1 27. f(x) 28. f(x) 3 x + 2 -2 -3 29. fх) 30. f(x) x + 5 x - 3 2x +1 Зх — 1 31. f(x) = 32. f(x) = 2 33. f(x) %3D х + 34. f(x) = x + 35. f(x) = 36. (х) 37. f(x) =- 3 38. f(x) x +2 1 -1 39. (х) 40. f(x) x + 3 x2 + 2 x + 3 (Hint: Simplify.) 41. f(x) = x - 9 42. f(x) 43. (х) 44. f(x) x + 2 2 - 9 x +1 45. f(x) 46. f(x) x +1 x + 3 x- 3 x +1 47. f(х)%3D 48. f(x) x2 + 2x - 15 2х - 3 x² + x - 2 2x - 2 49. (х) — 2- 16 50. f(x)
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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Question
Transcribed Image Text:Sketch the graph of each function. Indicate where each func-
tion is increasing or decreasing, where any relative extrema
occur, where asymptotes occur, where the graph is concave
up or concave down, where any points of inflection occur, and
where any intercepts occur.
23. f(x) =
24. f(x)
-2
25. f(х) %3D
x - 5
1
26. f(x)
X- 5
1
27. f(x)
28. f(x)
3
x + 2
-2
-3
29. fх)
30. f(x)
x + 5
x - 3
2x +1
Зх — 1
31. f(x) =
32. f(x) =
2
33. f(x) %3D х +
34. f(x) = x +
35. f(x) =
36. (х)
37. f(x) =- 3
38. f(x)
x +2
1
-1
39. (х)
40. f(x)
x + 3
x2 + 2
x + 3 (Hint: Simplify.)
41. f(x) =
x - 9
42. f(x)
43. (х)
44. f(x)
x + 2
2 - 9
x +1
45. f(x)
46. f(x)
x +1
x + 3
x- 3
x +1
47. f(х)%3D
48. f(x)
x2 + 2x - 15
2х - 3
x² + x - 2
2x - 2
49. (х) —
2- 16
50. f(x)
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