Preface to the Instructor 

xiii  


xix  
Photo Credits 

xxiii  
To the Student 

xxiv  


1  (82) 


2  (14) 


16  (13) 


29  (6) 


35  (10) 


45  (8) 


53  (4) 


57  (11) 

nth Roots; Rational Exponents 


68  (15) 


76  (7) 

Graphs, Equations, and Inequalities 


83  (114) 

Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations 


84  (16) 

Solving Equations Using a Graphing Utility; Linear and Rational Equations 


100  (12) 


112  (12) 

Complex Numbers; Quadratic Equations in the Complex Number System 


124  (9) 

Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations 


133  (8) 

Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs 


141  (9) 


150  (13) 


163  (17) 


180  (17) 


187  (7) 


194  (1) 


195  (2) 

Functions and Their Graphs 


197  (100) 

Symmetry; Graphing Key Equations 


198  (6) 


204  (15) 


219  (9) 


228  (13) 

Linear Functions and Models 


241  (14) 

Library of Functions; PiecewiseDefined Functions 


255  (11) 

Graphing Techniques: Transformations 


266  (12) 

Mathematical Models: Constructing Functions 


278  (19) 


286  (7) 


293  (1) 


294  (1) 


295  (2) 

Polynomial and Rational Functions 


297  (98) 

Quadratic Functions and Models 


298  (20) 

Polynomial Functions and Models 


318  (16) 

Properties of Rational Functions 


334  (12) 

The Graph of a Rational Function; Inverse and Joint Variation 


346  (14) 

Polynomial and Rational Inequalities 


360  (7) 

The Real Zeros of a Polynomial Function 


367  (14) 

Complex Zeros; Fundamental Theorem of Algebra 


381  (14) 


386  (6) 


392  (1) 


393  (1) 


393  (2) 

Exponential and Logarithmic Functions 


395  (108) 


396  (8) 

OnetoOne Functions; Inverse Functions 


404  (15) 


419  (16) 


435  (13) 


448  (9) 

Logarithmic and Exponential Equations 


457  (6) 


463  (9) 

Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay 


472  (13) 

Building Exponential, Logarithmic, and Logistic Models from Data 


485  (18) 


493  (7) 


500  (1) 


501  (1) 


501  (2) 

Systems of Equations and Inequalities 


503  (28) 

Systems of Linear Equations: Substitution and Elimination 


504  (15) 

Systems of Linear Equations: Matrices 



Systems of Linear Equations: Determinants 





Partial Fraction Decomposition 



Systems of Linear Inequalities 


519  (12) 












531  (2) 









Systems of Nonlinear Equations and Inequalities 











Sequences; Induction; the Binomial Theorem 


533  (30) 


534  (12) 


546  (6) 

Geometric Sequences; Geometric Series 


552  (11) 














563  



Permutations and Combinations 












Answers 

1  (1) 
Index 

1  