Preface 

ix  


xiii  
Index of Applications 

xvii  



Real Numbers and Their Properties 


2  (12) 

Integral Exponents and Scientific Notation 


14  (10) 

Rational Exponents and Radicals 


24  (12) 


36  (11) 


47  (10) 


57  (17) 


68  (1) 


69  (3) 


72  (2) 

Equations, Inequalities, and Modeling 



Equations in One Variable 


74  (10) 

Constructing Models to Solve Problems 


84  (12) 

Equations and Graphs in Two Variables 


96  (12) 

Linear Equations in Two Variables 


108  (14) 

Scatter Diagrams and Curve Fitting 


122  (5) 


127  (15) 

Linear and Absolute Value Inequalities 


142  (21) 


155  (1) 


156  (4) 


160  (1) 


161  (2) 




163  (13) 

Graphs of Relations and Functions 


176  (14) 

Families of Functions, Transformations, and Symmetry 


190  (15) 

Operations with Functions 


205  (10) 


215  (13) 

Constructing Functions with Variation 


228  (15) 


236  (2) 


238  (2) 


240  (1) 


241  (2) 

Polynomial and Rational Functions 



Quadratic Functions and Inequalities 


243  (12) 


255  (7) 

Zeros of Polynomial Functions 


262  (11) 


273  (9) 


282  (13) 

Graphs of Polynomial Functions 


295  (12) 

Rational Functions and Inequalities 


307  (22) 


322  (2) 


324  (2) 


326  (1) 


327  (2) 

Exponential and Logarithmic Functions 



Exponential Functions and Their Applications 


329  (15) 

Logarithmic Functions and Their Applications 


344  (12) 


356  (13) 

More Equations and Applications 


369  (19) 


381  (1) 


382  (2) 


384  (1) 


385  (3) 

Systems of Equations and Inequalities 



Systems of Linear Equations in Two Variables 


388  (11) 

Systems of Linear Equations in Three Variables 


399  (12) 

Nonlinear Systems of Equations 


411  (8) 


419  (8) 

Inequalities and Systems of Inequalities in Two Variables 


427  (9) 

The Linear Programming Model 


436  (12) 


442  (1) 


443  (2) 


445  (1) 


446  (2) 

Matrices and Determinants 



Solving Linear Systems Using Matrices 


448  (14) 


462  (6) 

Multiplication of Matrices 


468  (8) 


476  (12) 

Solution of Linear Systems in Two Variables Using Determinants 


488  (5) 

Solution of Linear Systems in Three Variables Using Determinants 


493  (14) 


502  (1) 


503  (1) 


504  (1) 


505  (2) 




507  (10) 

The Ellipse and the Circle 


517  (13) 


530  (19) 


543  (1) 


544  (2) 


546  (1) 


547  (2) 

Sequences, Series, and Probability 




549  (10) 


559  (8) 

Geometric Sequences and Series 


567  (12) 

Counting andPermutations 


579  (7) 

Combinations, Labeling, and the Binomial Theorem 


586  (9) 


595  (11) 


606  (6) 


612  (1) 


613  (2) 


615  
Answers to Selected Exercises 

A1  
Credits 

C1  
Index 

I1  