A word from the Authors (Preface) 

vii  
Features Highlights 

xi  
An Introduction to Graphing Utilities 

xvii  


1  (66) 


2  (10) 


12  (12) 

Polynomials and Factoring 


24  (13) 


37  (10) 

Graphical Representation of Data 


47  (20) 


59  (1) 


60  (4) 

Chapter Project: Modeling the Volume of a Box 


64  (1) 


65  (1) 


66  (1) 

Functions and Their Graphs 


67  (88) 


68  (11) 


79  (13) 


92  (14) 


106  (12) 

Shifting, Reflecting, and Stretching Graphs 


118  (9) 

Combinations of Functions 


127  (11) 


138  (17) 


148  (1) 


149  (4) 

Chapter Project: Modeling the Area of a Plot 


153  (1) 


154  (1) 

Intercepts, Zeros, and Solutions 


155  (70) 

Modeling with Linear Equations 


156  (13) 

Solving Equations Graphically 


169  (11) 


180  (8) 

Solving Equations Algebraically 


188  (17) 

Solving Inequalities Algebraically and Graphically 


205  (20) 


217  (1) 


218  (3) 

Chapter Project: Mozart and the Golden Ratio 


221  (1) 


222  (1) 

Cumulative Test: Chapter P2 


223  (2) 

Polynomial and Rational Functions 


225  (72) 


226  (11) 

Polynomial Functions of Higher Degree 


237  (13) 

Real Zeros of Polynomial Functions 


250  (14) 

The Fundamental Theorem of Algebra 


264  (7) 

Rational Functions and Asymptotes 


271  (10) 

Graphs of Rational Functions 


281  (16) 


290  (1) 


291  (4) 

Chapter Project: Finding Points of Intersection 


295  (1) 


296  (1) 

Exponential and Logarithmic Functions 


297  (68) 

Exponential Functions and Their Graphs 


298  (13) 

Logarithmic Functions and Their Graphs 


311  (11) 


322  (7) 

Solving Exponential and Logarithmic Equations 


329  (11) 

Exponential and Logarithmic Models 


340  (25) 


356  (1) 


357  (4) 

Chapter Project: A Graphical Approach to Compound Interest 


361  (1) 


362  (1) 

Cumulative Test: Chapters 34 


363  (2) 


365  (88) 


366  (11) 

Right Triangle Trigonometry 


377  (11) 

Trigonometric Functions of Any Angle 


388  (13) 

Graphs of Sine and Cosine Functions 


401  (11) 

Graphs of Other Trigonometric Functions 


412  (11) 

Inverse Trigonometric Functions 


423  (10) 


433  (20) 


445  (1) 


446  (5) 

Chapter Project: Fitting a Model to Data 


451  (1) 


452  (1) 


453  (52) 

Using Fundamental Identities 


454  (8) 

Verifying Trigonometric Identities 


462  (8) 

Solving Trigonometric Equations 


470  (12) 

Sum and Difference Formulas 


482  (7) 

MultipleAngle and ProductSum Formulas 


489  (16) 


499  (1) 


500  (3) 

Chapter Project: Projectile Motion 


503  (1) 


504  (1) 

Additional Topics in Trigonometry 


505  (60) 


506  (9) 


515  (7) 


522  (14) 


536  (9) 

Trigonometric Form of a Complex Number 


545  (20) 


556  (1) 


557  (4) 

Chapter Project: Adding Vectors Graphically 


561  (1) 


562  (1) 

Cumulative Test: Chapters 57 


563  (2) 

Systems of Equations and Inequalities 


565  (64) 

Solving Systems of Equations 


566  (11) 

Systems of Linear Equations in Two Variables 


577  (10) 

Multivariable Linear Systems 


587  (16) 


603  (10) 


613  (16) 


623  (1) 


624  (3) 

Chapter Project: Fitting Models to Data 


627  (1) 


628  (1) 


629  (66) 

Matrices and Systems of Equations 


630  (15) 


645  (15) 

The Inverse of a Square Matrix 


660  (9) 

The Determinant of a Square Matrix 


669  (8) 

Applications of Matrices and Determinants 


677  (18) 


687  (1) 


688  (5) 

Chapter Project: Solving Systems of Equations 


693  (1) 


694  (1) 

Sequences, Series, and Probability 


695  (78) 


696  (11) 

Arithmetic Sequences and Partial Sums 


707  (9) 

Geometric Sequences and Series 


716  (10) 


726  (8) 


734  (8) 


742  (10) 


752  (21) 


765  (1) 


766  (5) 

Chapter Project: Fitting Models to Data 


771  (1) 


772  (1) 

Topics in Analytic Geometry 


773  


774  


788  


797  


805  

Graphs of Polar Equations 


811  

Polar Equations of Conics 


820  


826  


827  

Chapter Project: Polar, Rectangular, and Parametric Forms 


831  


832  

Cumulative Test: Chapters 811 


833  
Appendices 


Appendix A Proofs of Selected Theorems 


A1  

Appendix B Concepts in Statistics 


A14  


A14  

B.2 Measures of Central Tendency and Dispersion 


A18  

B.3 Least Squares Regression 


A27  

Appendix C Solving Linear Equations and Inequalities 


A29  
Answers to OddNumbered Exercises and Tests 

A35  
Index of Applications 

A173  
Index 

A177  