A Word from the Authors (Preface) 

ix  
Features Highlights 

xii  
An Introduction to Graphing Utilities 

xviii  


1  (75) 


2  (10) 


12  (13) 

Polynomials and Special Products 


25  (9) 


34  (8) 


42  (11) 

Errors and the Algebra of Calculus 


53  (7) 

Graphical Representation of Data 


60  (16) 


70  (1) 


71  (3) 

Chapter Project: Numerically Finding a Maximum Volume 


74  (1) 


75  (1) 

Equations and Inequalities 


76  (94) 


78  (10) 

Linear Equations in One Variable 


88  (10) 

Modeling with Linear Equations 


98  (12) 


110  (14) 


124  (7) 


131  (12) 


143  (10) 

Other Types of Inequalities 


153  (17) 


163  (1) 


164  (4) 

Chapter Project: Finding Falling Times Numerically 


168  (1) 


169  (1) 

Functions and Their Graphs 


170  (82) 

Linear Equations in Two Variables 


172  (15) 


187  (14) 

Analyzing Graphs of Functions 


201  (13) 

Shifting, Reflecting, and Stretching Graphs 


214  (11) 

Combinations of Functions 


225  (8) 


233  (19) 


243  (1) 


244  (4) 

Chapter Project: A Graphical Approach to Maximization 


248  (1) 


249  (1) 

Cumulative Test: Chapters p2 


250  (2) 


252  (70) 


254  (11) 

Polynomial Functions of Higher Degree 


265  (13) 

Polynomial and Synthetic Division 


278  (10) 

Zeors of Polynomial Functions 


288  (15) 


303  (19) 


315  (1) 


316  (4) 

Chapter Project: Finding Points of Intersection Graphically 


320  (1) 


321  (1) 

Rational Functions and Conics 


322  (56) 

Rational Functions and Asymptotes 


324  (9) 

Graphs of Rational Functions 


333  (9) 


342  (8) 


350  (13) 


363  (15) 


371  (1) 


372  (4) 

Chapter Project: Graphical Approach to Finding Average Cost 


376  (1) 


377  (1) 

Exponential and Logarithmic Functions 


378  (64) 

Exponential Functions and Their Graphs 


380  (12) 

Logarithmic Functions and Their Graphs 


392  (11) 


403  (6) 

Exponential and Logarithmic Equations 


409  (11) 

Exponential and Logarithmic Models 


420  (22) 


433  (1) 


434  (4) 

Chapter Project: Graphical Approach to Compound Interest 


438  (1) 


439  (1) 

Cumulative Test: Chapters 35 


440  (2) 


442  (86) 

Angles and Their Measures 


444  (11) 

Right Triangle Trigonometry 


455  (11) 

Trigonometric Functions of Any Angle 


466  (12) 

Graphs of Sine and Cosine Functions 


478  (11) 

Graphs of Other Trigonometric Functions 


489  (11) 

Inverse Trigonometric Functions 


500  (10) 


510  (18) 


521  (1) 


522  (4) 

Chapter Project: Analyzing a Graph 


526  (1) 


527  (1) 


528  (52) 

Using Fundamental Identities 


530  (8) 

Verifying Trigonometric Identities 


538  (7) 

Solving Trigonometric Equations 


545  (11) 

Sum and Difference Formulas 


556  (7) 

MultipleAngle and ProducttoSum Formulas 


563  (17) 


574  (1) 


575  (3) 

Chapter Project: Projectile Motion 


578  (1) 


579  (1) 

Additional Topics in Trigonometry 


580  (60) 


582  (9) 


591  (8) 


599  (13) 


612  (8) 

Trigonometric Form of a Complex Number 


620  (20) 


631  (1) 


632  (4) 

Chapter Project: Adding Vectors Graphically 


636  (1) 


637  (1) 

Cumulative Test: Chapters 68 


638  (2) 

Systems of Equations and Inequalities 


640  (66) 

Solving Systems of Equations 


642  (11) 

TwoVariable Linear Systems 


653  (12) 

Multivariable Linear Systems 


665  (13) 


678  (11) 


689  (17) 


699  (1) 


700  (4) 

Chapter Project: Fitting Models to Data 


704  (1) 


705  (1) 

Matrices and Determinants 


706  (68) 

Matrices and Systems of Equations 


708  (15) 


723  (14) 

The Inverse of a Square Matrix 


737  (9) 

The Determinant of a Square Matrix 


746  (8) 

Applications of Matrices and Determinants 


754  (20) 


766  (1) 


767  (5) 

Chapter Project: Solving Systems of Equations 


772  (1) 


773  (1) 

Sequences, Series, and Probability 


774  


776  (11) 

Arithmetic Sequences and Partial Sums 


787  (9) 

Geometric Sequences and Series 


796  (10) 


806  (10) 


816  (8) 


824  (10) 


834  


847  (1) 


848  (4) 

Chapter Project: Exploring Difference Quotients 


852  (1) 


853  (1) 

Cumulative Test: Chapters 911 


854  
Appendices 


Appendix A Proofs of Selected Theorems 


A1  

Appendix B Concepts in Statistics 


A13  


A13  

B.2 Measures of Central Tendency and Dispersion 


A17  

B.3 Least Squares Regression 


A26  
Answers to OddNumbered Exercises and Tests 

A31  
Index of Applications 

A153  
Index 

A157  