Preface 

ix  
Supplements List 

xiii  
Function Gallery 

xv  



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) 

The Trigonometric Functions 



Angles and Their Measurements 


417  (17) 

The Sine and Cosine Functions 


434  (12) 

The Graphs of the Sine and Cosine Functions 


446  (18) 

The Other Trigonometric Functions and Their Graphs 


464  (13) 

The Inverse Trigonometric Functions 


477  (11) 

Right Triangle Trigonometry 


488  (21) 


502  (2) 


504  (3) 


507  (1) 


507  (2) 

Trigonometric Identities and Conditional Equations 




509  (10) 


519  (8) 

Sum and Difference Identities 


527  (10) 

DoubleAngle and HalfAngle Identities 


537  (9) 

Product and Sum Identities 


546  (10) 

Conditional Trigonometric Equations 


556  (21) 


570  (2) 


572  (2) 


574  (1) 


575  (2) 

Applications of Trigonometry 




577  (12) 


589  (11) 


600  (15) 

Trigonometric Form of Complex Numbers 


615  (8) 

Powers and Roots of Complex Numbers 


623  (6) 


629  (11) 


640  (15) 


646  (2) 


648  (3) 


651  (1) 


652  (3) 

Systems of Equations and Inequalities 



Systems of Linear Equations in Two Variables 


655  (12) 

Systems of Linear Equations in Three Variables 


667  (12) 

Nonlinear Systems of Equations 


679  (9) 


688  (9) 

Inequalities and Systems of Inequalities in Two Variables 


697  (9) 

The Linear Programming Model 


706  (14) 


713  (2) 


715  (2) 


717  (1) 


718  (2) 

Matrices and Determinants 



Solving Linear Systems Using Matrices 


720  (15) 


735  (8) 

Multiplication of Matrices 


743  (9) 


752  (12) 

Solution of Linear Systems in Two Variables Using Determinants 


764  (7) 

Solution of Linear Systems in Three Variables Using Determinants 


771  (15) 


780  (2) 


782  (1) 


783  (1) 


784  (2) 




786  (11) 

The Ellipse and the Circle 


797  (14) 


811  (20) 


825  (1) 


826  (2) 


828  (1) 


829  (2) 

Sequences, Series, and Probability 




831  (10) 


841  (9) 

Geometric Sequences and Series 


850  (13) 

Counting and Permutations 


863  (7) 

Combinations, Labeling, and the Binomial Theorem 


870  (10) 


880  (12) 


892  


898  (2) 


900  (3) 


903  
Appendix: Solutions to Try This Exercises 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Credits 

1  (1) 
Index of Applications 

1  (8) 
Index 

9  