Preface 

vii  



Real Numbers and Their Properties 


2  (14) 


16  (9) 

Polynomials; The Binomial Theorem 


25  (12) 


37  (7) 


44  (9) 


53  (11) 


64  (20) 


75  (3) 


78  (3) 


81  (1) 

Internet Project The NFL Quarterback Rating System 


82  (2) 

Equations and Inequalities 




84  (7) 

Linear Applications and Modeling 


91  (12) 


103  (7) 


110  (10) 

Quadratic Applications and Modeling 


120  (9) 


129  (9) 


138  (10) 

Absolute Value Equations and Inequalities 


148  (17) 


155  (1) 


156  (4) 


160  (2) 

Internet Project Protecting Our Environment 


162  (3) 

Relations, Functions, and Graphs 



Relations and the Rectangular Coordinate System; Circles 


165  (15) 


180  (15) 


195  (13) 

Equations of Lines; Curve Fitting 


208  (12) 

Graphs of Relations and Functions 


220  (13) 

General Graphing Techniques 


233  (16) 

Operations and Composition 


249  (21) 


258  (3) 


261  (4) 


265  (3) 

Internet Project Modeling the Drift of Whittier, California 


268  (2) 

Polynomial and Rational Functions 



Quadratic Functions; Curve Fitting 


270  (14) 


284  (7) 

Zeros of Polynomial Functions 


291  (11) 

Polynomial Functions: Graphs, Applications, and Models 


302  (14) 

Rational Functions: Graphs, Applications, and Models 


316  (14) 


330  (16) 


337  (1) 


338  (4) 


342  (2) 

Internet Project Polynomial Modeling of Social Security Numbers 


344  (2) 

Exponential and Logarithmic Functions 




346  (12) 


358  (16) 


374  (10) 

Evaluating Logarithms and the ChangeofBase Theorem 


384  (11) 

Exponential and Logarithmic Equations 


395  (10) 

Applications and Models of Exponential Growth and Decay 


405  (19) 


415  (1) 


416  (4) 


420  (2) 

Internet Project Modeling Growth of Internet Hosts 


422  (2) 

Systems of Equations and Inequalities 



Linear Systems of Equations 


424  (17) 

Matrix Solution of Linear Systems 


441  (10) 

Determinant Solution of Linear Systems 


451  (12) 


463  (6) 

Nonlinear Systems of Equations 


469  (10) 

Systems of Inequalities and Linear Programming 


479  (11) 


490  (14) 


504  (23) 


516  (2) 


518  (4) 


522  (1) 

Internet Project A Topic from Numerical Analysis 


523  (4) 




527  (9) 


536  (11) 


547  (10) 

Summary of the Conic Sections 


557  (15) 


566  (1) 


566  (3) 


569  (1) 

Internet Project Modeling the Path of a Bouncing Ball 


570  (2) 

Further Topics in Algebra 




572  (10) 

Arithmetic Sequences and Series 


582  (8) 

Geometric Sequences and Series 


590  (9) 

The Binomial Theorem Revisited 


599  (7) 


606  (7) 


613  (10) 


623  (16) 


633  (2) 


635  (2) 


637  (1) 

Internet Project Simulating Experiments Using Random Number Generators 


638  (1) 
Appendix Sets 

639  
Answers to Selected Exercises 

1  (1) 
Index 

1  (8) 
Index of Applications 

9  