By Revathi Narasimhan

ISBN-10: 0618412891

ISBN-13: 9780618412891

In response to years of expertise educating and writing supplemental fabrics for extra conventional precalculus texts, Reva Narasimhan takes a functions-focused method of instructing and studying algebra and trigonometry strategies. This new sequence builds up proper options utilizing capabilities as a unifying subject, repeating and increasing on connections to simple services. Visualization and research inspire the functions-based procedure, allowing scholars to higher keep the fabric to be used in later calculus classes.

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**Example text**

7Ϫ1͞4 71͞2 56. 51͞2 51͞3 57. 4Ϫ1͞3 41͞4 58. 23͞2 21͞4 65. 3 30. ͙ s10t 7 60. (s4y 5)Ϫ1͞3 x 1͞3 и x 1͞2 x2 62. 31. ͙3x 2y и ͙15xy 3 32. ͙5yz 3 и ͙8y 2z 2 33. ͙12yz и ͙3y 3z 5 34. ͙6x 3y 2 и ͙3xy 4 y 2͞3 и y 3͞2 y3 64. (27rsϪ3)1͞3 (x 2͞3y 3͞2)2 y Ϫ1͞3x 2 66. (x 4͞3y 1͞4)3 xy 1͞2 ᭤Applications In this set of exercises, you will use radicals and rational exponents to study real-world problems. 3 3 53. 5Ϫ1͞2 и 51͞2 63. (8r 3͞2sϪ2)2͞3 Ϫ375 32 29. ͙ x 8y 4 3 52. 21͞2 и 2Ϫ1͞3 61. 28. ͙s6y 3 35. ͙ 6x 3y 2 и ͙ 4x 2y 51.

2x 3 ϩ 4x 2 Ϫ 2x) Ϫ (7x 5 ϩ 4x 3 Ϫ 1) 69. (Ϫ5s Ϫ 4t)(4t Ϫ 5s) 70. (6y Ϫ 7z)(6y ϩ 7z) 23. (4v ϩ 6) Ϫ (9v 2 Ϫ 13v) 71. (Ϫt 2 Ϫ 5t ϩ 1)(t ϩ 6) 24. (Ϫ16s2 Ϫ 3s ϩ 5) ϩ (9s2 ϩ 3s ϩ 5) 72. (v 2 ϩ 3v Ϫ 7)(Ϫv Ϫ 2) 25. (Ϫ21t 2 ϩ 21t ϩ 21) ϩ (9t 3 ϩ 2) 73. (4z 2 ϩ 3z ϩ 5)(7z Ϫ 4) 26. (x 2 ϩ 3) Ϫ (3x 2 ϩ x Ϫ 10) ϩ (2x 3 Ϫ 3x) 74. (7u2 ϩ 6u Ϫ 11)(Ϫ3u ϩ 2) 27. s(2s ϩ 1) 28. Ϫv(3v Ϫ 4) 75. (x Ϫ 2)(x 2 ϩ 3x Ϫ 7) 29. 3z(Ϫ6z 2 Ϫ 5) 30. 5u(4u2 Ϫ 10) 76. (u ϩ 3)(6u2 Ϫ 4u ϩ 5) 31. Ϫt(Ϫ7t 2 ϩ 3t ϩ 9) 32. Ϫ5z(9z 2 Ϫ 2z Ϫ 4) 77.

38. Graph 4 Յ x Յ 10 (Ϫϱ, 6) 34. 35. Interval Notation Ϫ3 Յ x Ͻ 0 (Ϫ5, 10͔ − 2 0 2 4 6 8 10 12 14 x − 8 − 7 − 6 − 5− 4 − 3− 2 − 1 0 In Exercises 67–76, evaluate each expression without using a calculator. 67. 9 Ϫ 3(2) Ϫ 8 68. 6 ϩ 4(3) Ϫ 14 69. (3 Ϫ 5)2 70. 8 Ϫ (7 Ϫ 9)2 71. 32 ϩ 3(5) Ϫ 10 72. 10 ϩ 23 Ϭ 4 73. (Ϫ3)5 ϩ 3 74. Ϫ6(1 ϩ 22) 75. 10 Ϫ 42 2 ϩ 32 76. 2 ■ Integer Exponents and Scientific Notation 11 In Exercises 77–84, evaluate each expression using a calculator. Check your solution by hand.

### College Algebra and Trigonometry: Building Concepts and Connections by Revathi Narasimhan

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