Preface 

ix  (12) 
To the Student 

xxi  

CHAPTER P Prerequisites: Fundamental Concepts of Algebra 


1  (106) 

P.1 The Real Number System 


2  (11) 

P.2 Properties of Algebraic Expressions; Exponents 


13  (15) 

P.3 Graphs and Graphing Utilities 


28  (14) 

P.4 Radicals and Rational Exponents 


42  (13) 


55  (10) 


65  (13) 


78  (12) 


90  (10) 


100  (1) 


101  (1) 


102  (3) 


105  (2) 

CHAPTER 1 Equations, Inequalities, and Mathematical Models 


107  (104) 


108  (14) 


122  (14) 

1.3 Linear and Quadratic Modeling 


136  (23) 

1.4 Other Types of Equations 


159  (15) 


174  (12) 

1.6 Polynomial and Rational Inequalities 


186  (15) 


201  (1) 


202  (2) 


204  (5) 


209  (2) 

CHAPTER 2 Functions and Graphs 


211  (116) 

2.1 Introduction to Functions 


212  (11) 

2.2 Linear Functions and Slope 


223  (19) 

2.3 Graphs of Relations and Functions 


242  (15) 

2.4 Increasing and Decreasing Functions; Extreme Values 


257  (12) 

2.5 Transformations of Functions 


269  (18) 

2.6 Combinations of Functions 


287  (13) 


300  (13) 


313  (1) 


314  (2) 


316  (7) 


323  (2) 

Cumulative Review Problems (Chapters P2) 


325  (2) 

CHAPTER 3 Modeling with Polynomial and Rational Functions 


327  (104) 


328  (15) 

3.2 Polynomial Functions of Higher Degree and Polynomial Variation 


343  (16) 

3.3 Zeros of Polynomial Functions 


359  (19) 

3.4 More on Zeros of Polynomial Functions 


378  (14) 

3.5 Graphing Rational Functions 


392  (17) 

3.6 Modeling with Rational Functions and Inverse Variation 


409  (11) 


420  (1) 


421  (2) 


423  (5) 


428  (1) 

Cumulative Review Problems (Chapters P3) 


429  (2) 

CHAPTER 4 Exponential and Logarithmic Functions 


431  (88) 

4.1 Exponential Functions 


432  (17) 

4.2 Logarithmic Functions 


449  (17) 

4.3 Properties of Logarithmic Functions 


466  (11) 

4.4 Exponential and Logarithmic Equations 


477  (16) 

4.5 Modeling with Exponential and Logarithmic Functions 


493  (15) 


508  (1) 


509  (2) 


511  (5) 


516  (1) 

Cumulative Review Problems (Chapters P4) 


517  (2) 

CHAPTER 5 Matrices and Linear Systems 


519  (148) 

5.1 Solving Linear Systems Using Substitution and Addition 


520  (20) 

5.2 Matrix Solutions to Linear Systems 


540  (18) 

5.3 Inconsistent and Dependent Systems and Their Applications 


558  (9) 

5.4 Matrix Operations and Their Applications 


567  (20) 


587  (18) 

5.6 Determinants and Cramer's Rule 


605  (18) 


623  (14) 

5.8 Systems of Linear Inequalities and Linear Programming 


637  (18) 


655  (2) 


657  (2) 


659  (4) 


663  (1) 

Cumulative Review Problems (Chapters P5) 


664  (3) 

CHAPTER 6 Conic Sections and Nonlinear Systems 


667  (90) 


668  (20) 


688  (19) 


707  (19) 


726  (20) 


746  (2) 


748  (2) 


750  (3) 


753  (1) 

Cumulative Review Problems (Chapters P6) 


754  (3) 

CHAPTER 7 Sequences, Series, and Probability 


757  


758  (17) 

7.2 Arithmetic Sequences and Series 


775  (10) 

7.3 Geometric Sequences and Series 


785  (20) 

7.4 Mathematical Induction 


805  (10) 


815  (8) 

7.6 Counting Principles, Permutations, and Combinations 


823  (14) 

7.7 An Introduction to Probability 


837  (15) 


852  (1) 


853  (1) 


854  (5) 


859  
APPENDIX Review Problems Covering the Entire Book 

A1  
Answers to Selected Exercises 

AA1  
Index 

I1  
Index of Applications 

Inside front cover  
Definitions, Rules, and Formulas 

Inside back cover  