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Precalculus : Functions and Graphs,9780534352639
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Precalculus : Functions and Graphs

by
Edition:
8th
ISBN13:

9780534352639

ISBN10:
0534352634
Format:
Paperback
Pub. Date:
12/29/1997
Publisher(s):
Brooks Cole
List Price: $108.33

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This is the 8th edition with a publication date of 12/29/1997.
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Summary

Provides detailed solutions for odd-numbered exercises.

Table of Contents

PREFACE xiv
CHAPTER 1 TOPICS FROM ALGEBRA
1(112)
1.1 Real Numbers
2(13)
1.2 Exponents and Radicals
15(12)
1.3 Algebraic Expressions
27(14)
1.4 Equations
41(16)
1.5 Complex Numbers
57(6)
1.6 Inequalities
63(12)
1.7 Rectangular Coordinate Systems
75(18)
1.8 Lines
93(16)
CHAPTER 1 REVIEW EXERCISES
109(3)
CHAPTER 1 DISCUSSION EXERCISES
112(1)
CHAPTER 2 FUNCTIONS
113(70)
2.1 Definition of Function
114(17)
2.2 Graphs of Functions
131(12)
2.3 Quadratic Functions
143(14)
2.4 Operations on Functions
157(10)
2.5 Inverse Functions
167(10)
CHAPTER 2 REVIEW EXERCISES
177(4)
CHAPTER 2 DISCUSSION EXERCISES
181(2)
CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS
183(56)
3.1 Polynomial Functions of Degree Greater Than 2
184(8)
3.2 Properties of Division
192(8)
3.3 Zeros of Polynomials
200(13)
3.4 Complex and Rational Zeros of Polynomials
213(8)
3.5 Rational Functions
221(15)
CHAPTER 3 REVIEW EXERCISES
236(2)
CHAPTER 3 DISCUSSION EXERCISES
238(1)
CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
239(60)
4.1 Exponential Functions
240(11)
4.2 The Natural Exponential Function
251(10)
4.3 Logarithmic Functions
261(15)
4.4 Properties of Logarithms
276(8)
4.5 Exponential and Logarithmic Equations
284(10)
CHAPTER 4 REVIEW EXERCISES
294(2)
CHAPTER 4 DISCUSSION EXERCISES
296(3)
CHAPTER 5 THE TRIGONOMETRIC FUNCTIONS
299(96)
5.1 Angles
300(9)
5.2 Trigonometric Functions of Angles
309(16)
5.3 Trigonometric Functions of Real Numbers
325(19)
5.4 Values of the Trigonometric Functions
344(7)
5.5 Trigonometric Graphs
351(15)
5.6 Additional Trigonometric Graphs
366(9)
5.7 Applied Problems
375(13)
CHAPTER 5 REVIEW EXERCISES
388(6)
CHAPTER 5 DISCUSSION EXERCISES
394(1)
CHAPTER 6 ANALYTIC TRIGONOMETRY
395(64)
6.1 Verifying Trigonometric Identities
396(5)
6.2 Trigonometric Equations
401(12)
6.3 The Addition and Subtraction Formulas
413(11)
6.4 Multiple-Angle Formulas
424(10)
6.5 Product-to-Sum and Sum-to-Product Formulas
434(5)
6.6 The Inverse Trigonometric Functions
439(15)
CHAPTER 6 REVIEW EXERCISES
454(3)
CHAPTER 6 DISCUSSION EXERCISES
457(2)
CHAPTER 7 APPLICATIONS OF TRIGONOMETRY
459(60)
7.1 The Law of Sines
460(10)
7.2 The Law of Cosines
470(10)
7.3 Trigonometric Form for Complex Numbers
480(5)
7.4 De Moivre's Theorem and nth Roots of Complex Numbers
485(5)
7.5 Vectors
490(14)
7.6 The Dot Product
504(10)
CHAPTER 7 REVIEW EXERCISES
514(3)
CHAPTER 7 DISCUSSION EXERCISES
517(2)
CHAPTER 8 SYSTEMS OF EQUATIONS AND INEQUALITIES
519(90)
8.1 Systems of Equations
520(9)
8.2 Systems of Linear Equations in Two Variables
529(8)
8.3 Systems of Linear Equations in More Than Two Variables
537(15)
8.4 Partial Fractions
552(6)
8.5 Systems of Inequalities
558(7)
8.6 Linear Programming
565(9)
8.7 The Algebra of Matrices
574(9)
8.8 The Inverse of a Matrix
583(6)
8.9 Determinants
589(7)
8.10 Properties of Determinants
596(8)
CHAPTER 8 REVIEW EXERCISES
604(3)
CHAPTER 8 DISCUSSION EXERCISES
607(2)
CHAPTER 9 SEQUENCES, SERIES, AND PROBABILITY
609(72)
9.1 Infinite Sequences and Summation Notation
610(9)
9.2 Arithmetic Sequences
619(7)
9.3 Geometric Sequences
626(9)
9.4 Mathematical Induction
635(6)
9.5 The Binomial Theorem
641(9)
9.6 Permutations
650(7)
9.7 Distinguishable Permutations and Combinations
657(7)
9.8 Probability
664(12)
CHAPTER 9 REVIEW EXERCISES
676(3)
CHAPTER 9 DISCUSSION EXERCISES
679(2)
CHAPTER 10 TOPICS FROM ANALYTIC GEOMETRY
681(69)
10.1 Parabolas
682(10)
10.2 Ellipses
692(13)
10.3 Hyperbolas
705(13)
10.4 Plane Curves and Parametric Equations
718(10)
10.5 Polar Coordinates
728(12)
10.6 Polar Equations of Conics
740(7)
CHAPTER 10 REVIEW EXERCISES
747(2)
CHAPTER 10 DISCUSSION EXERCISES
749(1)
APPENDIXES 750
I Using a TI-82/83 Graphing Calculator 750(38)
II Common Graphs and Their Equations 788(2)
III A Summary of Graph Transformations 790(2)
IV Graphs of Trigonometric Functions and Their Inverses 792
ANSWERS TO SELECTED EXERCISES A1(84)
INDEX OF APPLICATIONS A85(4)
INDEX A89


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