Preface to the Instructor 

ix  
Preface to the Student 

xv  


xxv  


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 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  (92) 


476  (13) 

Right Triangle Trigonometry 


489  (11) 

Computing the Values of Trignometric Functions of Given Angles 


500  (8) 

Trignometric Functions of General Angles 


508  (10) 

Properties of the Trigonometric Functions; Unit Circle Approach 


518  (11) 

Graphs of the Sine and Cosine Functions 


529  (14) 

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 


543  (6) 

Phase Shift; Sinusoidal Curve Fitting 


549  (18) 


560  (6) 


566  (1) 


567  (60) 

The Inverse Sine, Cosine, and Tangent Functions 


568  (10) 

The Inverse Trigonometric Functions (Continued) 


578  (4) 


582  (6) 

Sum and Difference Formulas 


588  (10) 

Doubleangle and Halfangle Formulas 


598  (9) 

ProducttoSum and SumtoProduct Formulas 


607  (3) 

Trigonometric Equations I 


610  (5) 

Trigonometric Equations II 


615  (12) 


622  (4) 


626  (1) 

Applications of Trigonometric Functions 


627  (46) 

Applications Involving Right Triangles 


628  (8) 


636  (11) 


647  (7) 


654  (5) 

Simple Harmonic Motion; Damped Motion; Combining Waves 


659  (14) 


667  (5) 


672  (1) 

Polar Coordinates; Vectors 


673  (58) 


674  (8) 

Polar Equations and Graphs 


682  (16) 

The Complex Plane; De Moivre's Theorem 


698  (8) 


706  (12) 


718  (13) 


726  (4) 


730  (1) 


731  (68) 


732  (1) 


733  (10) 


743  (10) 


753  (14) 

Rotation of Axes; General Form of a Conic 


767  (8) 

Polar Equations of Conics 


775  (6) 

Plane Curves and Parametric Equations 


781  (18) 


794  (4) 


798  (1) 

Systems of Equations and Inequalities 


799  (100) 

Systems of Linear Equations: Two Equations Containing Two Variables 


800  (11) 

Systems of Linear Equations: Three Equations Containing Three Variables 


811  (6) 

Systems of Linear Equations: Matrices 


817  (15) 

Systems of Linear Equations: Determinants 


832  (11) 


843  (16) 

Partial Fraction Decomposition 


859  (7) 

Systems of Nonlinear Equations 


866  (10) 


876  (8) 


884  (15) 


891  (6) 


897  (2) 

Sequences; Induction; The Binomial Theorem 


899  (44) 


900  (10) 


910  (6) 

Geometric Sequences; Geometric Series 


916  (11) 


927  (4) 


931  (12) 


939  (3) 


942  (1) 


943  (38) 


944  (6) 

Permutations and Combinations 


950  (11) 


961  (20) 


975  (4) 


979  (2) 
Appendix Graphing Utilities 

981  


981  (2) 

2 Using a Graphing Utility to Graph Equations 


983  (4) 

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


987  (2) 

4 Using a Graphing Utility to Solve Equations 


989  (3) 


992  (1) 

6 Using a Graphing Utility to Graph Inequalities 


993  (1) 

7 Using a Graphing Utility to Solve Systems of Linear Equations 


994  (1) 

8 Using a Graphing Utility to Graph a Polar Equation 


995  (2) 

9 Using a Graphing Utility to Graph Parametric Equations 


997  
Photo and Illustration Credits 

CR1  
Answers 

AN1  
Index 

I1  