Please do question 51 and 59, follow the directions.

graphs of y = 3 SECTION 5.3 Exponential Functions 291 exponential fungi 36. 37. 38. 35 (b) f(x) =9 2X (d) f( x) = 0.gx OF y = 01 - 2 -3 ng is the range of the 0 and a * 1? (-00, 0) 40. 41. 42. 39. ( -00, 0) U (0, 00) 3 - 2- 2 x 2 X 2 x 2x ree decimal places. y = - - 2 - 2 (c ) 22.718 In Problems 43-54, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function. (c) 2.718 3:141 \\43. f (x) = 2" + 1 44. f ( x ) = 3* - 2 45. f(x ) = 3x-1 46. f ( x ) = 2x+2 22. 158( 5 863 47. f(x) = 3.( ) 48. f(x ) = 4. (5) 49. f (x ) = 3x - 2 50. f(x) = -3* + 1 (56)LSTO-29 98 .97 51. f ( x ) = 2+ 4*- 1 52. f ( x ) = 1 - 2*+3 53 . f ( x ) = 2+ 3*/2 54. f ( x ) = 1 - 2 x/3 at are linear functions, funds the data In Problems 55-62, begin with the graph of y = et (Figure 31) and use transformations to graph each function. Determine the domain, 30. range, and horizontal asymptote of each function. 55 . f ( x ) = ex 56. f (x ) = -ex 57. f ( x ) = ex+ 2 58. f(x ) = ex -1 59. f ( x ) = 5 - ex 60. f(x) = 9 - 3e-* 61. f (x) = 2 - ex/2 62. f(x ) = 7 - 3e2x 10 In Problems 63-82, solve each equation. 1 63. 7* = 73 64. 5x = 5-6" 65. 2 x = 16 66. 3-* = 81 67. ( 5 ) = 25 68. - 69. 22x-1 = 4 70. 5x+3 = 71. 37 = 91 72. 41 = 2x 73. 8-*+14 = 16* 74. 9-x+15 = 27 \\75. 3:12-7 = 272x 76. 5x-+8 = 1252 77. 4x . 24 = 162 78. 92x . 27* = 3-1 79. ex = e3x+8 80. e3x = e2-x 81. eth = e3x . 1 2 2 82. (et) t. et = e12 34. 83. If 4* = 7, what does 4 2x equal? 84. If 2* = 3, what does 4-* equal? 85. If 3-* = 2, what does 32x equal? - 1 86. If 5-* = 3, what does 53x equal? 87. If 9 = 25, what does 3* equal? 88. If 2 3x = 1000 what does 2* equal? In Problems 89-92, determine the exponential function whose graph is given. 89 90. YA 20 20 o hoolfed 16 16 12 12 13 (2, 9) of (0 , 1) 8 (1, 5) (-1, = ) (1, 3) (- 1 , 3 ) 4 (0, 1) & functions. 1 = 0 - )) y = -37 -3 -2 -1 -2 1 2 3x - 3 - 2 -1 -2- 2 1) y = 1 -3 THE NOLLOO %001 713HS SO MX HECHO EN INDIA CA FABRIQUE EN INDE VIGNI NJ 3GVW SO