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574 Chapter 10 Functions and Their Graphs 34. - 31. 33. 32. (-3, 3) (3,3) In Pr appr wher (0, 3) (4,2) (-4, 2) (0, 2) (0, 1) -4 (-2,0) (2,0) (-1, 0) (1,0) -3 (1,0) 69 71. 38. 37. 35. A Y 36. A y 73. (-3, 2) (-1, 2) (0,3) (3, 1) (1) 2 (-2, 1) 75. (2.2) (0,1) (-2.3,0) X 77 X -3-2 -1 -3 ,0) (1,-1) (2, -1) -1 (--1) (-3,-2) (T,-1) (-t,-1) -3 -2 -2 In Problems 39-42, the graph of a function fis given. Use the graph to find: (a) The numbers, if any, at which fhas a local maximum. What are these local maxima (b) The numbers, if any, at which fhas a local minimum. What are these local minima 42. 39. 41. 40. A y A Y 21 4 3 (0, 3) (0, 2) Xx -4 (-2, 0) (2,0) TC -3 (-1,0) (1,0) 4 3 -TC -TC 2 (-5-1) (r,-1) T,-1) -2 -2 43. Find the average rate of change of f(x) = -2x + 4 44. Find the average rate of change of f(x) = - (a) from 0 to 2 (b) from 1 to 3 (c) from 1 to 4 (b) from 1 to 3 (a) from 0 to 2 (c) from -1 to 1 In Problems 45-56, (a) for each function find the average rate of change of f from 1 to x: f(x)-f(1) x 1 x-1 (b) Use the result from part (a) to compute the average rate of change from x = 1 to x = 2. Be sure to simplify. (c) Find an equation of the secant line containing (1, f(1)) and (2, f(2)). 45. f(x) = 5x 46. f(x) 4x 47. f(x) 1 3x 48. f(x) = +1 49. f(x) x2- 2x 50. f(x) x - 2x2 51. f(x) x- x 52. f(x) = x +x 2 53. f(x) 1 54. f(x) = x + 1 55. f(x) x x2 Problems 57-68, determine algebraically whether each function is even, odd, or neither. 56. f(x) = \x + 3 57. f(x) = 4x3 58. f(x) 2x4 - x 59. g(x) 61. F(x) = Vx = - 3x2- 5 60. h(x) = 3x +5 62. G(x) = Vx 63. f(x) x+ 1 65. g(x) x2 64. f(x) = 2x +1 66. h(x) x2 x x3 3x2-9 67. h(x) 1 2x2 68. F(x) 11 x3 + 1

574 Chapter 10 Functions and Their Graphs 34. - 31. 33. 32. (-3, 3) (3,3) In Pr appr wher (0, 3) (4,2) (-4, 2) (0, 2) (0, 1) -4 (-2,0) (2,0) (-1, 0) (1,0) -3 (1,0) 69 71. 38. 37. 35. A Y 36. A y 73. (-3, 2) (-1, 2) (0,3) (3, 1) (1) 2 (-2, 1) 75. (2.2) (0,1) (-2.3,0) X 77 X -3-2 -1 -3 ,0) (1,-1) (2, -1) -1 (--1) (-3,-2) (T,-1) (-t,-1) -3 -2 -2 In Problems 39-42, the graph of a function fis given. Use the graph to find: (a) The numbers, if any, at which fhas a local maximum. What are these local maxima (b) The numbers, if any, at which fhas a local minimum. What are these local minima 42. 39. 41. 40. A y A Y 21 4 3 (0, 3) (0, 2) Xx -4 (-2, 0) (2,0) TC -3 (-1,0) (1,0) 4 3 -TC -TC 2 (-5-1) (r,-1) T,-1) -2 -2 43. Find the average rate of change of f(x) = -2x + 4 44. Find the average rate of change of f(x) = - (a) from 0 to 2 (b) from 1 to 3 (c) from 1 to 4 (b) from 1 to 3 (a) from 0 to 2 (c) from -1 to 1 In Problems 45-56, (a) for each function find the average rate of change of f from 1 to x: f(x)-f(1) x 1 x-1 (b) Use the result from part (a) to compute the average rate of change from x = 1 to x = 2. Be sure to simplify. (c) Find an equation of the secant line containing (1, f(1)) and (2, f(2)). 45. f(x) = 5x 46. f(x) 4x 47. f(x) 1 3x 48. f(x) = +1 49. f(x) x2- 2x 50. f(x) x - 2x2 51. f(x) x- x 52. f(x) = x +x 2 53. f(x) 1 54. f(x) = x + 1 55. f(x) x x2 Problems 57-68, determine algebraically whether each function is even, odd, or neither. 56. f(x) = \x + 3 57. f(x) = 4x3 58. f(x) 2x4 - x 59. g(x) 61. F(x) = Vx = - 3x2- 5 60. h(x) = 3x +5 62. G(x) = Vx 63. f(x) x+ 1 65. g(x) x2 64. f(x) = 2x +1 66. h(x) x2 x x3 3x2-9 67. h(x) 1 2x2 68. F(x) 11 x3 + 1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 17E
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Do not know how to do question 50 on this page in the book, plz show steps too

574 Chapter 10 Functions and Their Graphs 34. - 31. 33. 32. (-3, 3) (3,3) In Pr appr wher (0, 3) (4,2) (-4, 2) (0, 2) (0, 1) -4 (-2,0) (2,0) (-1, 0) (1,0) -3 (1,0) 69 71. 38. 37. 35. A Y 36. A y 73. (-3, 2) (-1, 2) (0,3) (3, 1) (1) 2 (-2, 1) 75. (2.2) (0,1) (-2.3,0) X 77 X -3-2 -1 -3 ,0) (1,-1) (2, -1) -1 (--1) (-3,-2) (T,-1) (-t,-1) -3 -2 -2 In Problems 39-42, the graph of a function fis given. Use the graph to find: (a) The numbers, if any, at which fhas a local maximum. What are these local maxima (b) The numbers, if any, at which fhas a local minimum. What are these local minima 42. 39. 41. 40. A y A Y 21 4 3 (0, 3) (0, 2) Xx -4 (-2, 0) (2,0) TC -3 (-1,0) (1,0) 4 3 -TC -TC 2 (-5-1) (r,-1) T,-1) -2 -2 43. Find the average rate of change of f(x) = -2x + 4 44. Find the average rate of change of f(x) = - (a) from 0 to 2 (b) from 1 to 3 (c) from 1 to 4 (b) from 1 to 3 (a) from 0 to 2 (c) from -1 to 1 In Problems 45-56, (a) for each function find the average rate of change of f from 1 to x: f(x)-f(1) x 1 x-1 (b) Use the result from part (a) to compute the average rate of change from x = 1 to x = 2. Be sure to simplify. (c) Find an equation of the secant line containing (1, f(1)) and (2, f(2)). 45. f(x) = 5x 46. f(x) 4x 47. f(x) 1 3x 48. f(x) = +1 49. f(x) x2- 2x 50. f(x) x - 2x2 51. f(x) x- x 52. f(x) = x +x 2 53. f(x) 1 54. f(x) = x + 1 55. f(x) x x2 Problems 57-68, determine algebraically whether each function is even, odd, or neither. 56. f(x) = \x + 3 57. f(x) = 4x3 58. f(x) 2x4 - x 59. g(x) 61. F(x) = Vx = - 3x2- 5 60. h(x) = 3x +5 62. G(x) = Vx 63. f(x) x+ 1 65. g(x) x2 64. f(x) = 2x +1 66. h(x) x2 x x3 3x2-9 67. h(x) 1 2x2 68. F(x) 11 x3 + 1
Transcribed Image Text:574 Chapter 10 Functions and Their Graphs 34. - 31. 33. 32. (-3, 3) (3,3) In Pr appr wher (0, 3) (4,2) (-4, 2) (0, 2) (0, 1) -4 (-2,0) (2,0) (-1, 0) (1,0) -3 (1,0) 69 71. 38. 37. 35. A Y 36. A y 73. (-3, 2) (-1, 2) (0,3) (3, 1) (1) 2 (-2, 1) 75. (2.2) (0,1) (-2.3,0) X 77 X -3-2 -1 -3 ,0) (1,-1) (2, -1) -1 (--1) (-3,-2) (T,-1) (-t,-1) -3 -2 -2 In Problems 39-42, the graph of a function fis given. Use the graph to find: (a) The numbers, if any, at which fhas a local maximum. What are these local maxima (b) The numbers, if any, at which fhas a local minimum. What are these local minima 42. 39. 41. 40. A y A Y 21 4 3 (0, 3) (0, 2) Xx -4 (-2, 0) (2,0) TC -3 (-1,0) (1,0) 4 3 -TC -TC 2 (-5-1) (r,-1) T,-1) -2 -2 43. Find the average rate of change of f(x) = -2x + 4 44. Find the average rate of change of f(x) = - (a) from 0 to 2 (b) from 1 to 3 (c) from 1 to 4 (b) from 1 to 3 (a) from 0 to 2 (c) from -1 to 1 In Problems 45-56, (a) for each function find the average rate of change of f from 1 to x: f(x)-f(1) x 1 x-1 (b) Use the result from part (a) to compute the average rate of change from x = 1 to x = 2. Be sure to simplify. (c) Find an equation of the secant line containing (1, f(1)) and (2, f(2)). 45. f(x) = 5x 46. f(x) 4x 47. f(x) 1 3x 48. f(x) = +1 49. f(x) x2- 2x 50. f(x) x - 2x2 51. f(x) x- x 52. f(x) = x +x 2 53. f(x) 1 54. f(x) = x + 1 55. f(x) x x2 Problems 57-68, determine algebraically whether each function is even, odd, or neither. 56. f(x) = \x + 3 57. f(x) = 4x3 58. f(x) 2x4 - x 59. g(x) 61. F(x) = Vx = - 3x2- 5 60. h(x) = 3x +5 62. G(x) = Vx 63. f(x) x+ 1 65. g(x) x2 64. f(x) = 2x +1 66. h(x) x2 x x3 3x2-9 67. h(x) 1 2x2 68. F(x) 11 x3 + 1
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