Math Answer Key to Evens Chapter 1

Homework Answer Key – Chapter 1.1-1.7 EVENS [1.4 will be on a separate key] Honors Pre-Calculus Lesson 1.1 14. (-4, 0); (-4, 3); (-4, 5) 22a. m  undefined; 24a. m  0; 40. y b  -11/8 b = does not exist 3 159 x 25 100 54. Neither 60. parallel: y  3x 13.1 perpendicular: y 62. parallel: y 1 perpendicular: x  4 80. c 82. 44. 1 y   x 1 2 76. y  4.5x  129 1 1 x 3 10 d 104. No 106. Yes Lesson 1.2 6. No, the inputs 0 and 1 both matched with two outputs 26a. 0 26b. 15 38a. 1 38b. 5 44. -1, -1, -1, 1, 1 52. 2, 3 74a. 1024 cm 74b. Yes it’s a function 74c. 3 26c. 38c. 14. Not a function t 2 1 26d. x 2  2cx  c 2  2 x  2c y  5 62. x  6 1 56. V  x(24  2 x) 2 , 0  x  12 76. A  2 xy  2 x 36  x 2 , 0  x  6 78a. C  12.30 x  98000 78c. P  5.68x  98000 86b. $16.5 billion 86c. 72.4, 81.6, 94.1, 109.1, 126.1, 144.6, 163.9, 183.5, 202.7, 221.0 86a. $145.6 billion 72. A 3 2 s 4 74d. It fits the points 78b. R  17.98x Lesson 1.3 (, ) ; Range [3, ) ; f (0)  3 4. Domain: 8. Domain: [-2, 2]; Range: [0, 2] 14a. (, ) 14b. -4, 2 14e. y-intercept 14f. 3; (1, 3) 14g. 3; (-1, 3) 22. Decreasing on 28. Decreasing on 34. Relative min. (4, -17); Relative max. (0, 15) 36. Relative max. (2.67, 3.08) 54. see graph h  3  4x  x 2 , 0  x  1 94. False. If (x, y) is on the graph of an odd function, then (-x, -y) is too. (,  1) ; Increasing on (1, ) 60. even function 90. 96. 14c. d x-intercepts 14d. 4 14h. 1 (, 1) 48. see graph 98. e Lesson 1.4 These answers will be on a separate answer sheet (graphs and transformations) given when section 1.4 is introduced 100. f Homework Answer Key – Chapter 1.1-1.7 EVENS [1.4 will be on a separate key] Honors Pre-Calculus Lesson 1.5 6a. x4 6b. 3x  6 6c.  2x 2  7 x  5 12a. x4  x3  x x 1 12b.  x4  x3  x x 1 12c. x4 x 1 22. t  7t  9 26. t 2  4t  3 t 40a.  3,  50. ( f  g )( x)  x; ( g  f )( x)  x; 78c.  x ( A  r )( x)     2 2 (1, ) 78a. 12d. r ( x)  6d. 2x  5 ;  , 1  1,  1 x 1 ;  ,  1   1, 0  0,  x x  1 2 40b.  ,  x 2 78b.  6,  40c. A(r )  r 2 2 80. s(t )  (150  450t ) 2  (200  450t ) 2  50 162t 2  126t  25 D 40. Lesson 1.6 22. b 24. Not one-to-one   f 1 ( x)  x  2 Domain of f(x) =  2,   Range of f(x) = 0,   Domain of f 72. 80. 4, 3, -1, -2 88. 1 106a. 106c. $15.50 106d. 19 units 112. 114. f and g are inverses of each other y 1  f 1 ( x)  3 x  1 62. x 8 0.75 1 ( x) = 0,   Range of f 1 ( x) =  2,   y = number of units produced, x = hourly wage f and g are inverses of each other Lesson 1.7 4. no correlation 12b. L  0.122t  1.32 12c. The model fits the data 20a. T  0.022t  5.03 20e. No, winning times can go only so low due to human abilities 20b. 12d. 2010: 3.76 minutes 2015: 4.37 minutes A negative slope shows that the winning times are decreasing each year Chapter 1 Review These answers will be on a separate answer sheet at the end of the chapter