Preface 

vii  
Supplements Guide 

xi  

R Review of Basic Concepts 


1  (532) 

Real Numbers and Their Properties 


2  (14) 

Sets of Numbers and the Number Line 







Properties of Real Numbers 




16  (8) 





Properties of Absolute Value 




24  (13) 












37  (9) 

Factoring Out the Greatest Common Factor 









Factoring by Substitution 




46  (9) 



Lowest Terms of a Rational Expression 



Multiplication and Division 








55  (10) 

Negative Exponents and the Quotient Rule 





Complex Fractions Revisited 




65  (20) 







Rationalizing Denominators 




76  (3) 


79  (4) 


83  (1) 


84  (1) 

Equations and Inequalities 


85  (96) 


86  (6) 

Basic Terminology of Equations 





Identities, Conditional Equations, and Contradictions 



Solving for a Specified Variable (Literal Equations) 



Applications and Modeling with Linear Equations 


92  (15) 











Modeling with Linear Equations 




107  (8) 

Basic Concepts of Complex Numbers 



Operations on Complex Numbers 




115  (10) 

Solving a Quadratic Equation 







Solving for a Specified Variable 





Applications and Modeling with Quadratic Equations 


125  (11) 



Using the Pythagorean Theorem 



Height of a Propelled Object 



Modeling with Quadratic Equations 




136  (10) 





Equations Quadratic in Form 



Summary Exercises on Solving Equations 


146  (1) 


146  (14) 









Absolute Value Equations and Inequalities 


160  (21) 



Absolute Value Inequalities 



Special Cases Absolute Value Models for Distance and Tolerance 




167  (4) 


171  (7) 


178  (2) 


180  (1) 


181  (112) 


182  (15) 



The Rectangular Coordinate System 












197  (17) 





Determining Functions from Graphs or Equations 





Increasing, Decreasing, and Constant Functions 




214  (13) 

Graphing Linear Functions 



Standard Form Ax + By = C 









Equations of Lines; Curve Fitting 


227  (15) 





Vertical and Horizontal Lines 



Parallel and Perpendicular Lines 





Solving Linear Equations in One Variable by Graphing 



Summary Exercises on Graphs, Functions, and Equations 


241  (1) 

Graphs of Basic Functions 


242  (11) 



The Identity, Squaring, and Cubing Functions 



The Square Root and Cube Root Functions 



The Absolute Value Function 



PiecewiseDefined Functions 






253  (15) 











Function Operations and Composition 


268  (25) 

Arithmetic Operations on Functions 








281  (4) 


285  (5) 


290  (2) 


292  (1) 

Polynomial and Rational Functions 


293  (96) 

Quadratic Functions and Models 


294  (19) 









Quadratic Models and Curve Fitting 




313  (7) 



Evaluating Polynomial Functions Using the Remainder Theorem 





Zeros of Polynomial Functions 


320  (11) 









Finding Zeros of a Polynomial Function 





Polynomial Functions: Graphs, Applications, and Models 


331  (19) 



Graphs of General Polynomial Functions 



Turning Points and End Behavior 





Intermediate Value and Boundedness Theorems 





Polynomial Models and Curve Fitting 



Summary Exercises on Polynomial Functions, Zeros, and Graphs 


349  (1) 

Rational Functions: Graphs, Applications, and Models 


350  (18) 

The Reciprocal Function f(x) = 1/x 







Steps for Graphing Rational Functions 






368  (21) 





Combined and Joint Variation 




377  (4) 


381  (5) 


386  (2) 


388  (1) 

Exponential and Logarithmic Functions 


389  (84) 


390  (12) 









An Application of Inverse Functions to Cryptography 




402  (16) 









The Number e and Continuous Compounding 



Exponential Models and Curve Fitting 




418  (14) 









Summary Exercises on Inverse, Exponential, and Logarithmic Functions 


431  (1) 

Evaluating Logarithms and the ChangeofBase Theorem 


432  (11) 



Applications and Modeling with Common Logarithms 





Applications and Modeling with Natural Logarithms 



Logarithms to Other Bases 



Exponential and Logarithmic Equations 


443  (9) 





Applications and Modeling 



Applications and Models of Exponential Growth and Decay 


452  (21) 

The Exponential Growth or Decay Function 








464  (3) 


467  (4) 


471  (1) 


472  (1) 


473  (60) 

Systems of Linear Equations 


474  (18) 









Applying Systems of Equations 



Solving Linear Systems with Three Unknowns (Variables) 



Using Systems of Equations to Model Data 



Summary Exercises on Systems of Equations 


491  (1) 


492  (11) 



Series and Summation Notation 





Arithmetic Sequences and Series 


503  (9) 





Geometric Sequences and Series 


512  (21) 





Infinite Geometric Series 





Summary Exercises on Sequences and Series 


523  (2) 


525  (3) 


528  (3) 


531  (1) 


532  (1) 
Appendix Sets 

533  (6) 
Glossary 

539  
Solutions to Selected Exercises 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Index of Applications 

1  (4) 
Index 

5  