Preface to the Instructor 

viii  
Preface to the Student 

xiv  


xxiv  
Photo Credits 

xxviii  


1  (82) 


2  (14) 


16  (6) 


22  (6) 


28  (9) 


37  (10) 


47  (8) 


55  (12) 


67  (7) 


74  (9) 


78  (5) 

Equations and Inequalities 


83  (62) 


84  (10) 

Setting Up Equations: Applications 


94  (11) 


105  (14) 

Radical Equations; Equations Quadratic in Form 


119  (5) 


124  (11) 

Equations and Inequalities Involving Absolute Value 


135  (10) 


139  (4) 


143  (2) 


145  (58) 


146  (7) 


153  (10) 


163  (12) 

Parallel and Perpendicular Lines; Circles 


175  (10) 

Scatter Diagrams; Linear Curve Fitting 


185  (7) 


192  (11) 


198  (4) 


202  (1) 

Functions and Their Graphs 


203  (78) 


204  (20) 


224  (10) 

Library of Functions; PiecewiseDefined Functions 


234  (8) 

Graphing Techniques: Transformations 


242  (13) 

Operations on Functions; Composite Functions 


255  (9) 

Mathematical Models: Constructing Functions 


264  (17) 


273  (6) 


279  (2) 

Polynomial and Rational Functions 


281  (72) 

Quadratic Functions and Models 


282  (18) 


300  (18) 


318  (10) 

Rational Functions II: Analyzing Graphs 


328  (14) 

Polynomial and Rational Inequalities 


342  (11) 


348  (4) 


352  (1) 

The Zeros of a Polynomial Function 


353  (38) 


354  (4) 

The Real Zeros of a Polynomial Function 


358  (14) 

Complex Numbers; Quadratic Equations with a Negative Discriminant 


372  (9) 

Complex Zeros; Fundamental Theorem of Algebra 


381  (10) 


387  (3) 


390  (1) 

Exponential and Logarithmic Functions 


391  (84) 

OnetoOne Functions; Inverse Functions 


392  (12) 


404  (14) 


418  (11) 

Properties of Logarithms; Exponential and Logarithmic Models 


429  (13) 

Logarithmic and Exponential Equations 


442  (4) 


446  (9) 

Growth and Decay; Newton's Law; Logistic Models 


455  (8) 


463  (12) 


468  (6) 


474  (1) 


475  (40) 


476  (1) 


477  (10) 


487  (10) 


497  (18) 


511  (2) 


513  (2) 

Systems of Equations and Inequalities 


515  (100) 

Systems of Linear Equations: Two Equations Containing Two Variables 


516  (11) 

Systems of Linear Equations: Three Equations Containing Three Variables 


527  (6) 

Systems of Linear Equations: Matrices 


533  (15) 

Systems of Linear Equations: Determinants 


548  (11) 


559  (16) 

Partial Fraction Decomposition 


575  (7) 

Systems of Nonlinear Equations 


582  (10) 


592  (8) 


600  (15) 


607  (6) 


613  (2) 

Sequences; Induction; The Binomial Theorem 


615  (44) 


616  (10) 


626  (6) 

Geometric Sequences; Geometric Series 


632  (11) 


643  (4) 


647  (12) 


655  (3) 


658  (1) 


659  (38) 


660  (6) 

Permutations and Combinations 


666  (11) 


677  (20) 


691  (4) 


695  (2) 
Appendix Graphing Utilities 

697  


697  (2) 

2 Using a Graphing Utility to Graph Equations 


699  (4) 

3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry 


703  (2) 

4 Using a Graphing Utility to Solve Equations 


705  (3) 


708  (1) 

6 Using a Graphing Utility to Graph Inequalities 


709  (1) 

7 Using a Graphing Utility to Solve Systems of Linear Equations 


710  
Answers 

1  (1) 
Index 

1  