Preface 

v  (9) 
To the Instructor 

xiv  (3) 
To the Student 

xvii  

CHAPTER 1 Review and Technology Preview 


1  (85) 

1.1 The Real Number System 


1  (14) 

1.1.A Excursion: Decimal Representation of Real Numbers 


12  (3) 

1.2 Solving Equations Algebraically 


15  (9) 

1.2.A Excursion: Absolute Value Equations 


23  (1) 


24  (8) 

1.4 Graphs and Graphing Calculators 


32  (17) 

1.5 Solving Equations Numerically and Graphically 


49  (11) 

1.6 Applications of Equations 


60  (11) 

1.7 Optimization Applications 


71  (9) 


80  (6) 

CHAPTER 2 Functions and Graphs 


86  (79) 


86  (9) 


95  (10) 

2.3 Graphs of Functions and Equations 


105  (10) 


115  (8) 

2.5 Graphs and Transformations 


123  (16) 

2.5.A Excursion: Symmetry 


133  (6) 

2.6 Operations on Functions 


139  (9) 


148  (10) 


158  (7) 

CHAPTER 3 Linear and Quadratic Functions 


165  (44) 

3.1 Lines and Linear Functions 


165  (44) 


179  (17) 

3.2.A Excursion: The Secant Method 


191  (5) 


196  (8) 


204  (5) 

CHAPTER 4 Polynomial and Rational Functions 


209  (90) 

4.1 Polynomials and Polynomial Functions 


209  (11) 

4.1.A Excursion: Synthetic Division 


217  (3) 


220  (9) 

4.3 Graphs of Polynomial Functions 


229  (13) 


242  (22) 

4.4.A Excursion: Other Rational Functions 


260  (4) 

4.5 Polynomial and Rational Inequalities 


264  (14) 

4.5.A Excursion: Absolute Value Inequalities 


274  (4) 


278  (7) 


285  (7) 


292  (7) 

CHAPTER 5 Exponential and Logarithmic Functions 


299  (66) 

5.1 Radicals and Rational Exponents 


299  (14) 

5.1.A Excursion: Radical Equations 


306  (7) 

5.2 Exponential Functions 


313  (19) 

5.2A Excursion: Compound Interest and the Number e 


326  (6) 

5.3 Common and Natural Logarithmic Functions 


332  (19) 

5.3.A Excursion: Logarithmic Functions to Other Bases 


344  (7) 

5.4 Algebraic Solutions of Exponential and Logarithmic Equations 


351  (9) 


360  (5) 

CHAPTER 6 Trigonometric Functions 


365  (86) 

6.1 Angles and Their Measurement 


365  (10) 

6.2 The Sine, Cosine, and Tangent Functions 


375  (8) 


383  (13) 


396  (6) 

6.5 Alternate Descriptions and Special Values 


402  (10) 

6.6 Other Trigonometric Functions 


412  (9) 

6.7 Periodic Graphs and Simple Harmonic Motion 


421  (20) 

6.7.A Excursion: Other Trigonometric Graphs 


434  (7) 


441  (10) 

CHAPTER 7 Triangle Trigonometry 


451  (35) 

7.1 Right Triangle Trigonometry 


451  (11) 


462  (8) 


470  (13) 


483  (3) 

CHAPTER 8 Trigonometric Identities and Equations 


486  (56) 

8.1 Basic Identities and Proofs 


486  (9) 

8.2 Addition and Subtraction Identities 


495  (13) 

8.2.A Excursion: Lines and Angles 


504  (4) 


508  (8) 

8.4 Trigonometric Equations 


516  (12) 

8.5 Inverse Trigonometric Functions 


528  (9) 


537  (5) 

CHAPTER 9 Applications of Trigonometry 


542  (45) 

9.1 The Complex Plane and Polar Form for Complex Numbers 


542  (7) 

9.2 DeMoivre's Theorem and nth Roots of Complex Numbers 


549  (8) 


557  (15) 


572  (11) 


583  (4) 

CHAPTER 10 Analytic Geometry 


587  (65) 

10.1 Plane Curves and Parametric Equations 


587  (15) 


602  (14) 

10.3 Translations and Rotations of Conics 


616  (11) 


627  (10) 

10.5 Polar Equations of Conics 


637  (11) 


648  (4) 

CHAPTER 11 Systems of Equations 


652  (46) 

11.1 Systems of Linear Equations in Two Variables 


652  (9) 

11.2 Large Systems of Linear Equations 


661  (15) 

11.3 Other Matrix Methods for Solving Systems of Equations 


676  (9) 

11.4 Systems of Nonlinear Equations 


685  (9) 


694  (4) 

CHAPTER 12 Discrete Algebra 


698  


698  (8) 

12.2 Arithmetic Sequences 


706  (5) 


711  (10) 

12.3.A Excursion: Infinite Series 


715  (6) 

12.4 The Binomial Theorem 


721  (8) 

12.5 Mathematical Induction 


729  (10) 


739  

CHAPTER 13 Limits and Continuity (available as a separate supplement) 





13.1.A Excursion: OneSided Limits 



13.2 The Formal Definition of Limit (Optional) 





13.4 Limits Involving Infinity 


Appendix 1 Algebra Review 

742  (18) 
Appendix 2 Geometry Review 

760  (8) 
Appendix 3 Program Appendix 

768  
Answers to OddNumbered Exercises 

A1  
Index of Applications 

I1  
Index 

I7  