A Word from the Authors (Preface) 

vii  
Features Highlights 

x  
An Introduction to Graphing Utilities 

xvi  


1  (97) 


2  (10) 


12  (13) 

Polynomials and Factoring 


25  (13) 


38  (11) 


49  (13) 


62  (12) 

Errors and the Algebra of Calculus 


74  (7) 

Graphical Representation of Data 


81  (17) 


91  (1) 


92  (4) 

Chapter Project: Numerically Finding a Maximum Volume 


96  (1) 


97  (1) 

Functions and Their Graphs 


98  (102) 


100  (10) 

Linear Equations in Two Variables 


110  (15) 


125  (14) 

Analyzing Graphs of Functions 


139  (13) 

Shifting, Reflecting, and Stretching Graphs 


152  (11) 

Combinations of Functions 


163  (8) 


171  (10) 


181  (19) 


193  (1) 


194  (4) 

Chapter Project: A Graphical Approach to Maximization 


198  (1) 


199  (1) 

Polynomial and Rational Functions 


200  (86) 


202  (11) 

Polynomial Functions of Higher Degree 


213  (13) 

Polynomial and Synthetic Division 


226  (10) 


236  (7) 

Zeros of Polynomial Functions 


243  (15) 


258  (13) 


271  (15) 


279  (1) 


280  (4) 

Chapter Project: Finding Points of Intersection Graphically 


284  (1) 


285  (1) 

Exponential and Logarithmic Functions 


286  (64) 

Exponential Functions and Their Graphs 


288  (12) 

Logarithmic Functions and Their Graphs 


300  (11) 


311  (6) 

Exponential and Logarithmic Equations 


317  (11) 

Exponential and Logarithmic Models 


328  (22) 


341  (1) 


342  (4) 

Chapter Project: Graphical Approach to Compound Interest 


346  (1) 


347  (1) 

Cumulative Test: Chapters 13 


348  (2) 


350  (90) 

Radian and Degree Measure 


352  (11) 

Trigonometric Functions: The Unit Circle 


363  (7) 

Right Triangle Trigonometry 


370  (11) 

Trigonometric Functions of Any Angle 


381  (9) 

Graphs of Sine and Cosine Functions 


390  (11) 

Graphs of Other Trigonometric Functions 


401  (11) 

Inverse Trigonometric Functions 


412  (10) 


422  (18) 


433  (1) 


434  (4) 

Chapter Project: Analyzing a Graph 


438  (1) 


439  (1) 


440  (52) 

Using Fundamental Identities 


442  (8) 

Verifying Trigonometric Identities 


450  (7) 

Solving Trigonometric Equations 


457  (11) 

Sum and Difference Formulas 


468  (7) 

MultipleAngle and ProducttoSum Formulas 


475  (17) 


486  (1) 


487  (3) 

Chapter Project: Projectile Motion 


490  (1) 


491  (1) 

Additional Topics in Trigonometry 


492  (60) 


494  (9) 


503  (8) 


511  (13) 


524  (8) 

Trigonometric Form of a Complex Number 


532  (20) 


543  (1) 


544  (4) 

Chapter Project: Adding Vectors Graphically 


548  (1) 


549  (1) 

Cumulative Test: Chapters 46 


550  (2) 

Systems of Equations and Inequalities 


552  (66) 

Solving Systems of Equations 


554  (11) 

TwoVariable Linear Systems 


565  (12) 

Multivariable Linear Systems 


577  (13) 


590  (11) 


601  (17) 


611  (1) 


612  (4) 

Chapter Project: Fitting Models to Data 


616  (1) 


617  (1) 

Matrices and Determinants 


618  (68) 

Matrices and Systems of Equations 


620  (15) 


635  (14) 

The Inverse of a Square Matrix 


649  (9) 

The Determinant of a Square Matrix 


658  (8) 

Applications of Matrices and Determinants 


666  (20) 


678  (1) 


679  (5) 

Chapter Project: Solving Systems of Equations 


684  (1) 


685  (1) 

Sequences, Series, and Probability 


686  (82) 


688  (11) 

Arithmetic Sequences and Partial Sums 


699  (9) 

Geometric Sequences and Series 


708  (10) 


718  (10) 


728  (8) 


736  (10) 


746  (22) 


759  (1) 


760  (4) 

Chapter Project: Exploring Difference Quotients 


764  (1) 


765  (1) 

Cumulative Test: Chapters 79 


766  (2) 

Topics in Analytic Geometry 


768  


770  (7) 

Introduction to Conics: Parabolas 


777  (9) 


786  (9) 


795  (9) 


804  (8) 


812  (8) 


820  (6) 

Graphs of Polar Equations 


826  (8) 

Polar Equations of Conics 


834  


841  (1) 


842  (4) 

Chapter Project: Polar, Rectangular, and Parametric Forms 


846  (1) 


847  
Appendices 


Appendix A Proofs of Selected Theorems 


A1  

Appendix B Concepts in Statistics 


A16  


A16  

B.2 Measures of Central Tendency and Dispersion 


A20  

B.3 Least Squares Regression 


A29  
Answers to OddNumbered Exercises and Tests 

A33  
Index of Applications 

A155  
Index 

A159  