Chapter 1 | Functions and Graphs
59
1.2 EXERCISES For the following exercises, for each pair of points, a. find the slope of the line passing through the points and b. indicate whether the line is increasing, decreasing, horizontal, or vertical.
79. 4 y +24=0 80. 8 x −4=0 81. 2 x +3 y =6 82. 6 x −5 y +15=0
59. (−2, 4) and (1, 1) 60. (−1, 4) and (3, −1) 61. (3, 5) and (−1, 2) 62. (6, 4) and (4, −3) 63. (2, 3) and (5, 7) 64. (1, 9) and (−8, 5) 65. (2, 4) and (1, 4) 66. (1, 4) and (1, 0)
For the following exercises, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y -intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither. 83. f ( x ) =2 x 2 −3 x −5 84. f ( x ) =−3 x 2 +6 x
x 2 −1
85. f ( x ) = 1 2
For the following exercises, write the equation of the line satisfying the given conditions in slope-intercept form.
86. f ( x ) = x 3 +3 x 2 − x −3 87. f ( x ) =3 x − x 3 For the following exercises, use the graph of f ( x ) = x 2 to graph each transformed function g . 88. g ( x ) = x 2 −1 89. g ( x ) = ( x +3) 2 +1 For the following exercises, use the graph of f ( x ) = x to graph each transformed function g . 90. g ( x ) = x +2 91. g ( x ) =− x −1 For the following exercises, use the graph of y = f ( x ) to graph each transformed function g .
67. Slope =−6, passes through (1, 3) 68. Slope =3, passes through (−3, 2)
passes through (0, 4)
69. Slope = 1 3 ,
70. Slope = 2 5
, x -intercept =8
71. Passing through (2, 1) and (−2, −1) 72. Passing through (−3, 7) and (1, 2) 73. x -intercept =5 and y -intercept =−3 74. x -intercept =−6 and y -intercept =9
For the following exercises, for each linear equation, a. give the slope m and y -intercept b , if any, and b. graph the line. 75. y =2 x −3
76. y = − 1 7
x +1
77. f ( x ) =−6 x 78. f ( x ) =−5 x +4
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