A Word from the Authors (Preface) 

viii  
Features Highlights 

xi  
An Introduction to Graphing Utilities 

xvii  


1  (72) 

Graphical Representation of Data 


2  (12) 


14  (11) 


25  (13) 

Solving Equations Algebraically and Graphically 


38  (16) 

Solving Inequalities Algebraically and Graphically 


54  (19) 


66  (1) 


67  (3) 

Chapter Project: Modeling the Volume of a Box 


70  (1) 


71  (1) 


72  (1) 

Functions and Their Graphs 


73  (62) 


74  (14) 


88  (12) 

Shifting, Reflecting, and Stretching Graphs 


100  (9) 

Combinations of Functions 


109  (11) 


120  (15) 


130  (1) 


131  (2) 

Chapter Project: Modeling the Area of a Plot 


133  (1) 


134  (1) 

Polynomial and Rational Functions 


135  (80) 


136  (11) 

Polynomial Functions of Higher Degree 


147  (13) 

Real Zeros of Polynomial Functions 


160  (14) 


174  (8) 

The Fundamental Theorem of Algebra 


182  (7) 

Rational Functions and Asymptotes 


189  (10) 

Graphs of Rational Functions 


199  (16) 


208  (1) 


209  (4) 

Chapter Project: Finding Points of Intersection 


213  (1) 


214  (1) 

Exponential and Logarithmic Functions 


215  (68) 

Exponential Functions and Their Graphs 


216  (13) 

Logarithmic Functions and Their Graphs 


229  (11) 


240  (7) 

Solving Exponential and Logarithmic Equations 


247  (11) 

Exponential and Logarithmic Models 


258  (25) 


274  (1) 


275  (4) 

Chapter Project: A Graphical Approach to Compound Interest 


279  (1) 


280  (1) 

Cumulative Test: Chapters 13 


281  (2) 


283  (92) 

Radian and Degree Measure 


284  (11) 

Trigonometric Functions: The Unit Circle 


295  (8) 

Right Triangle Trigonometry 


303  (11) 

Trigonometric Functions of Any Angle 


314  (9) 

Graphs of Sine and Cosine Functions 


323  (11) 

Graphs of Other Trigonometric Functions 


334  (11) 

Inverse Trigonometric Functions 


345  (10) 


355  (20) 


367  (1) 


368  (5) 

Chapter Project: Fitting a Model to Data 


373  (1) 


374  (1) 


375  (52) 

Using Fundamental Identities 


376  (8) 

Verifying Trigonometric Identities 


384  (8) 

Solving Trigonometric Equations 


392  (12) 

Sum and Difference Formulas 


404  (7) 

MultipleAngle and ProductSum Formulas 


411  (16) 


421  (1) 


422  (3) 

Chapter Project: Projectile Motion 


425  (1) 


426  (1) 

Additional Topics in Trigonometry 


427  (60) 


428  (9) 


437  (7) 


444  (14) 


458  (9) 

Trigonometric Form of a Complex Number 


467  (20) 


478  (1) 


479  (4) 

Chapter Project: Adding Vectors Graphically 


483  (1) 


484  (1) 

Cumulative Test: Chapters 46 


485  (2) 

Systems of Equations and Inequalities 


487  (64) 

Solving Systems of Equations 


488  (11) 

Systems of Linear Equations in Two Variables 


499  (10) 

Multivariable Linear Systems 


509  (16) 


525  (10) 


535  (16) 


545  (1) 


546  (3) 

Chapter Project: Fitting Models to Data 


549  (1) 


550  (1) 

Matrices and Determinants 


551  (66) 

Matrices and Systems of Equations 


552  (15) 


567  (15) 

The Inverse of a Square Matrix 


582  (9) 

The Determinant of a Square Matrix 


591  (8) 

Applications of Matrices and Determinants 


599  (18) 


609  (1) 


610  (5) 

Chapter Project: Solving Systems of Equations 


615  (1) 


616  (1) 

Sequences, Series, and Probability 


617  (78) 


618  (11) 

Arithmetic Sequences and Partial Sums 


629  (9) 

Geometric Sequences and Series 


638  (10) 


648  (8) 


656  (8) 


664  (10) 


674  (21) 


687  (1) 


688  (5) 

Chapter Project: Fitting Models to Data 


693  (1) 


694  (1) 

Topics in Analytic Geometry 


695  (74) 

Introduction to Conics: Parabolas 


696  (8) 


704  (9) 


713  (9) 

Rotation and Systems of Quadratic Equations 


722  (9) 


731  (8) 


739  (6) 

Graphs of Polar Equations 


745  (9) 

Polar Equations of Conics 


754  (15) 


760  (1) 


761  (4) 

Chapter Project: Polar, Rectangular, and Parametric Forms 


765  (1) 


766  (1) 

Cumulative Test: Chapters 710 


767  (2) 

Analytic Geometry in Three Dimensions 


769  (36) 

The ThreeDimensional Coordinate System 


770  (7) 


777  (7) 

The Cross Product of Two Vectors 


784  (7) 

Lines and Planes in Space 


791  (14) 


800  (1) 


801  (2) 

Chapter Project: Distance Between a Point and a Line 


803  (1) 


804  (1) 

Limits and an Introduction to Calculus 


805  (1) 


806  (10) 

Techniques for Evaluating Limits 


816  (10) 


826  (9) 

Limits at Infinity and Limits of Sequences 


835  (8) 


843  (8) 


851  (1) 


852  (3) 

Chapter Project: Tangent Lines to Sine Curves 


855  (1) 


856  (1) 

Cumulative Test: Chapters 1112 


857  (1) 
Appendices 


Appendix A Proofs of Selected Theorems 


A1  

Appendix B Concepts in Statistics 


A15  


A15  

B.2 Measures of Central Tendency and Dispersion 


A22  

B.3 Least Squares Regression 


A31  

Appendix C Solving Linear Equations and Inequalities 


A33  
Answers to OddNumbered Exercises and Tests 

A39  
Index of Applications 

A181  
Index 

A184  