A Word from the Authors (Preface) 

vi  
Features Highlights 

x  


1  (72) 


2  (10) 


12  (12) 

Polynomials and Factoring 


24  (13) 


37  (10) 


47  (11) 

Exploring Data: Representing Data Graphically 


58  (15) 


67  (1) 


68  (4) 


72  (1) 

Functions and Their Graphs 


73  (88) 

Introduction to Library of Functions 


74  (1) 


75  (11) 


86  (13) 


99  (14) 


113  (12) 

Shifting, Reflecting, and Stretching Graphs 


125  (9) 

Combinations of Functions 


134  (11) 


145  (16) 


155  (1) 


156  (4) 


160  (1) 

Solving Equations and Inequalities 


161  (78) 

Linear Equations and Problem Solving 


162  (10) 

Solving Equations Graphically 


172  (11) 


183  (8) 

Solving Equations Algebraically 


191  (19) 

Solving Inequalities Algebraically and Graphically 


210  (12) 

Exploring Data: Linear Models and Scatter Plots 


222  (17) 


231  (1) 


232  (4) 


236  (1) 

Cumulative Test: Chapters P2 


237  (2) 

Polynomial and Rational Functions 


239  (80) 


240  (11) 

Polynomial Functions of Higher Degree 


251  (13) 

Real Zeros of Polynomial Functions 


264  (15) 

The Fundamental Theorem of Algebra 


279  (7) 

Rational Functions and Asymptotes 


286  (10) 

Graphs of Rational Functions 


296  (9) 

Exploring Data: Quadratic Models 


305  (14) 


312  (1) 


313  (5) 


318  (1) 

Exponential and Logarithmic Functions 


319  (72) 

Exponential Functions and Their Graphs 


320  (12) 

Logarithmic Functions and Their Graphs 


332  (11) 


343  (7) 

Solving Exponential and Logarithmic Equations 


350  (11) 

Exponential and Logarithmic Models 


361  (12) 

Exploring Data: Nonlinear Models 


373  (18) 


382  (1) 


383  (5) 


388  (1) 

Cumulative Test: Chapters 34 


389  (2) 


391  (88) 


392  (11) 

Right Triangle Trigonometry 


403  (11) 

Trigonometric Functions of Any Angle 


414  (13) 

Graphs of Sine and Cosine Functions 


427  (11) 

Graphs of Other Trigonometric Functions 


438  (11) 

Inverse Trigonometric Functions 


449  (11) 


460  (19) 


472  (1) 


473  (5) 


478  (1) 


479  (52) 

Using Fundamental Identities 


480  (8) 

Verifying Trigonometric Identities 


488  (8) 

Solving Trigonometric Equations 


496  (12) 

Sum and Difference Formulas 


508  (7) 

MultipleAngle and ProducttoSum Formulas 


515  (16) 


526  (1) 


527  (3) 


530  (1) 

Additional Topics in Trigonometry 


531  (60) 


532  (9) 


541  (7) 


548  (14) 


562  (10) 

Trigonometric Form of a Complex Number 


572  (19) 


583  (1) 


584  (4) 


588  (1) 

Cumulative Test: Chapters 57 


589  (2) 

Linear Systems and Matrices 


591  (104) 

Solving Systems of Equations 


592  (11) 

Systems of Linear Equations in Two Variables 


603  (10) 

Multivariable Linear Systems 


613  (16) 

Matrices and Systems of Equations 


629  (15) 


644  (15) 

The Inverse of a Square Matrix 


659  (9) 

The Determinant of a Square Matrix 


668  (8) 

Applications of Matrices and Determinants 


676  (19) 


686  (2) 


688  (6) 


694  (1) 

Sequences, Series, and Probability 


695  (76) 


696  (11) 

Arithmetic Sequences and Partial Sums 


707  (9) 

Geometric Sequences and Series 


716  (10) 


726  (8) 


734  (8) 


742  (10) 


752  (19) 


765  (1) 


766  (4) 


770  (1) 

Topics in Analytic Geometry 


771  


772  (14) 


786  (9) 


795  (8) 


803  (6) 

Graphs of Polar Equations 


809  (9) 

Polar Equations of Conics 


818  


825  (1) 


826  (4) 


830  (1) 

Cumulative Test: Chapters 810 


831  



Appendix A Technology Support Guide 


1  (24) 

Appendix B Proofs of Selected Theorems 


25  (13) 

Appendix C Concepts in Statistics 


38  (11) 

C.1 Measures of Central Tendency and Dispersion 


38  (47) 

C.2 Least Squares Regression 


47  (49) 

Appendix D Solving Linear Equations and Inequalities 


49  (3) 

Appendix E Systems of Inequalities 


52  (19) 

E.1 Solving Systems of Inequalities 


52  (10) 


62  (71) 
Answers to OddNumbered Exercises and Tests 

71  (140) 
Index of Applications 

211  (4) 
Index 

215  