Preface 

ix  
Supplements List 

xiii  
Function Gallery 

xvii  



Real Numbers and Their Properties 


2  (13) 

Integral Exponents and Scientific Notation 


15  (11) 

Rational Exponents and Radicals 


26  (13) 


39  (6) 


45  (12) 


57  (11) 


68  (20) 


80  (2) 


82  (3) 


85  (3) 

Equations, Inequalities, and Modeling 



Equations in One Variable 


88  (11) 

Constructing Models to Solve Problems 


99  (12) 

Equations and Graphs in Two Variables 


111  (14) 

Linear Equations in Two Variables 


125  (14) 

Scatter Diagrams and Curve Fitting 


139  (6) 


145  (17) 

Linear and Absolute Value Inequalities 


162  (23) 


175  (2) 


177  (4) 


181  (2) 


183  (2) 




185  (14) 

Graphs of Relations and Functions 


199  (13) 

Families of Functions, Transformations, and Symmetry 


212  (16) 

Operations with Functions 


228  (10) 


238  (14) 

Constructing Functions with Variation 


252  (16) 


260  (2) 


262  (3) 


265  (1) 


266  (2) 

Polynomial and Rational Functions 



Quadratic Functions and Inequalities 


268  (13) 

Zeros of Polynomial Functions 


281  (12) 


293  (10) 


303  (13) 

Graphs of Polynomial Functions 


316  (14) 

Rational Functions and Inequalities 


330  (24) 


346  (2) 


348  (3) 


351  (1) 


352  (2) 

Exponential and Logarithmic Functions 



Exponential Functions and Their Applications 


354  (15) 

Logarithmic Functions and Their Applications 


369  (14) 


383  (13) 

More Equations and Applications 


396  (21) 


409  (1) 


410  (3) 


413  (1) 


414  (3) 

Systems of Equations and Inequalities 



Systems of Linear Equations in Two Variables 


417  (12) 

Systems of Linear Equations in Three Variables 


429  (12) 

Nonlinear Systems of Equations 


441  (9) 


450  (9) 

Inequalities and Systems of Inequalities in Two Variables 


459  (9) 

The Linear Programming Model 


468  (14) 


475  (2) 


477  (2) 


479  (1) 


480  (2) 

Matrices and Determinants 



Solving Linear Systems Using Matrices 


482  (15) 


497  (8) 

Multiplication of Matrices 


505  (9) 


514  (12) 

Solution of Linear Systems in Two Variables Using Determinants 


526  (7) 

Solution of Linear Systems in Three Variables Using Determinants 


533  (15) 


542  (2) 


544  (1) 


545  (1) 


546  (2) 




548  (11) 

The Ellipse and the Circle 


559  (14) 


573  (20) 


587  (1) 


588  (2) 


590  (1) 


591  (2) 

Sequences, Series, and Probability 




593  (10) 


603  (9) 

Geometric Sequences and Series 


612  (13) 

Counting and Permutations 


625  (7) 

Combinations, Labeling, and the Binomial Theorem 


632  (10) 


642  (12) 


654  


660  (2) 


662  (3) 


665  
Appendix: Solutions to Try This Exercises 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Credits 

1  (1) 
Index of Applications 

1  (6) 
Index 

7  