By Geoffrey C Berresford; Andrew Mansfield Rockett

ISBN-10: 0495831719

ISBN-13: 9780495831716

ISBN-10: 0547169787

ISBN-13: 9780547169781

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6 CHAPTER 1 FUNCTIONS Brief Examples Finite Intervals Interval Notation Set Notation [a, b] {x͉aՅxՅb} (a, b) Graph {x͉aϽxϽb} [a, b) {x͉aՅxϽb} (a, b] {x͉aϽxՅb} Type Closed a b (includes endpoints) a b (excludes endpoints) a b a b Open } Half-open or half-closed [Ϫ2, 5] (Ϫ2, 5) [Ϫ2, 5) (Ϫ2, 5] Ϫ2 5 Ϫ2 5 Ϫ2 5 Ϫ2 5 An interval may extend infinitely far to the right (indicated by the symbol ϱ for infinity) or infinitely far to the left (indicated by Ϫ ϱ for negative infinity). Note that ϱ and Ϫ ϱ are not numbers, but are merely symbols to indicate that the interval extends endlessly in that direction.

27) ΂ ΃ 44. Ϫ1/2 45. ΂ 271 ΃ 47. Ϫ ΂ ΃ 25 16 ΂ ΃ 46. ΂ ΃ 63. Ϫ3/2 48. Ϫ 59. 43. 16 9 Ϫ1/2 Ϫ3/2 Ϫ5/3 49. 7 50. 7 51. 9 52. 5 53–56. Use a graphing calculator to evaluate each ΂ 54. 1 ϩ 6 58. 4 60. √8x4 3 6 2x3 6 √4x3 24 (2√x)3 62. 18 (33√x)2 √ 64. √ 9 x4 3 8 x6 ΃ 1 1000 1000 66. (x 4 иx 3)2 67. [z 2(zи z 2)2z]3 70. [(x 3)3]3 71. (ww 2)3 w 3w 72. (ww 3)2 w 3w 2 73. (5xy 4)2 25x 3y 3 74. (4x 3y)2 8x 2y 3 75. (9xy 3z)2 3(xyz)2 76. (5x 2y 3z)2 5(xyz)2 77. (2u 2vw 3)2 4(uw 2)2 78. (u 3vw 2)2 9(u 2w)2 expression.

Passing through the points (1, Ϫ 1) and (5, Ϫ 1) 44. Passing through the points (2, 0) and (2, Ϫ 4) a. Increases by 5 units? b. Decreases by 4 units? 45–48. Write an equation of the form y ϭ mx ϩ b for 7–14. Find the slope (if it is defined) of the line determined by each pair of points. each line in the following graphs. ] 45. 46. 7. (2, 3) and (4, Ϫ 1) 8. (3, Ϫ 1) and (5, 7) 9. (Ϫ 4, 0) and (2, 2) 10. (Ϫ 1, 4) and (5, 1) 3 3 11. (0, Ϫ 1) and (4, Ϫ 1) 12. (Ϫ 2, 12) and (5, 12) 2 2 13. (2, Ϫ 1) and (2, 5) 14.

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Applied calculus by Geoffrey C Berresford; Andrew Mansfield Rockett


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