A Word from the Authors (Preface) 

viii  
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: Chapters 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  (66) 

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  (23) 


356  (1) 


357  (4) 

Chapter Project: A Graphical Approach to Compound Interest 


361  (1) 


362  (1) 

Systems of Equations and Inequalities 


363  (66) 

Solving Systems of Equations 


364  (11) 

Systems of Linear Equations in Two Variables 


375  (10) 

Multivariable Linear Systems 


385  (16) 


401  (10) 


411  (18) 


421  (1) 


422  (3) 

Chapter Project: Fitting Models to Data 


425  (1) 


426  (1) 

Cumulative Test: Chapters 35 


427  (2) 

Matrices and Determinants 


429  (66) 

Matrices and Systems of Equations 


430  (15) 


445  (15) 

The Inverse of a Square Matrix 


460  (9) 

The Determinant of a Square Matrix 


469  (8) 

Applications of Matrices and Determinants 


477  (18) 


487  (1) 


488  (5) 

Chapter Project: Solving Systems of Equations 


493  (1) 


494  (1) 

Sequences, Series, and Probability 


495  (78) 


496  (11) 

Arithmetic Sequences and Partial Sums 


507  (9) 

Geometric Sequences and Series 


516  (10) 


526  (8) 


534  (8) 


542  (10) 


552  (21) 


565  (1) 


566  (5) 

Chapter Project: Fitting Models to Data 


571  (1) 


572  (1) 

Conics and Parametric Equations 


573  


574  


588  


597  


605  


606  

Chapter Project: Parametric Equations and Inverse Functions 


610  


611  

Cumulative Test: Chapters 68 


612  
Appendices 


Appendix A Proofs of Selected Theorems 


A1  

Appendix B Concepts in Statistics 


A7  


A7  

B.2 Measures of Central Tendency and Dispersion 


A11  

B.3 Least Squares Regression 


A20  

Appendix C Solving Linear Equations and Inequalities 


A22  
Answers to OddNumbered Exercises and Tests 

A27  
Index of Applications 

A125  
Index 

A128  