A Word from the Authors (Preface) 

viii  
Features Highlights 

xii  

Functions and Their Graphs 


1  (86) 

Introduction to Library of Functions 


2  (1) 


3  (13) 


16  (14) 


30  (12) 

Shifting, Reflecting, and Stretching Graphs 


42  (9) 

Combinations of Functions 


51  (11) 


62  (10) 

Exploring Data: Linear Models and Scatter Plots 


72  (15) 


81  (1) 


82  (4) 


86  (1) 

Polynomial and Rational Functions 


87  (88) 


88  (11) 

Polynomial Functions of Higher Degree 


99  (13) 

Real Zeros of Polynomial Functions 


112  (15) 


127  (8) 

The Fundamental Theorem of Algebra 


135  (7) 

Rational Functions and Asymptotes 


142  (10) 

Graphs of Rational Functions 


152  (9) 

Exploring Data: Quadratic Models 


161  (14) 


168  (1) 


169  (5) 


174  (1) 

Exponential and Logarithmic Functions 


175  (72) 

Exponential Functions and Their Graphs 


176  (12) 

Logarithmic Functions and Their Graphs 


188  (11) 


199  (7) 

Solving Exponential and Logarithmic Equations 


206  (11) 

Exponential and Logarithmic Models 


217  (12) 

Exploring Data: Nonlinear Models 


229  (18) 


238  (1) 


239  (5) 


244  (1) 

Cumulative Test: Chapters 13 


245  (2) 


247  (92) 

Radian and Degree Measure 


248  (11) 

Trigonometric Functions: The Unit Circle 


259  (8) 

Right Triangle Trigonometry 


267  (11) 

Trigonometric Functions of Any Angle 


278  (9) 

Graphs of Sine and Cosine Functions 


287  (11) 

Graphs of Other Trigonometric Functions 


298  (11) 

Inverse Trigonometric Functions 


309  (11) 


320  (19) 


332  (1) 


333  (5) 


338  (1) 


339  (52) 

Using Fundamental Identities 


340  (8) 

Verifying Trigonometric Identities 


348  (8) 

Solving Trigonometric Equations 


356  (12) 

Sum and Difference Formulas 


368  (7) 

MultipleAngle and ProducttoSum Formulas 


375  (16) 


386  (1) 


387  (3) 


390  (1) 

Additional Topics in Trigonometry 


391  (60) 


392  (9) 


401  (7) 


408  (14) 


422  (10) 

Trigonometric Form of a Complex Number 


432  (19) 


443  (1) 


444  (4) 


448  (1) 

Cumulative Test: Chapters 46 


449  (2) 

Linear Systems and Matrices 


451  (104) 

Solving Systems of Equations 


452  (11) 

Systems of Linear Equations in Two Variables 


463  (10) 

Multivariable Linear Systems 


473  (16) 

Matrices and Systems of Equations 


489  (15) 


504  (15) 

The Inverse of a Square Matrix 


519  (9) 

The Determinant of a Square Matrix 


528  (8) 

Applications of Matrices and Determinants 


536  (19) 


546  (2) 


548  (6) 


554  (1) 

Sequences, Series, and Probability 


555  (76) 


556  (11) 

Arithmetic Sequences and Partial Sums 


567  (9) 

Geometric Sequences and Series 


576  (10) 


586  (8) 


594  (8) 


602  (10) 


612  (19) 


625  (1) 


626  (4) 


630  (1) 

Topics in Analytic Geometry 


631  (74) 

Introduction to Conics: Parabolas 


632  (8) 


640  (9) 


649  (10) 

Rotation and Systems of Quadratic Equations 


659  (9) 


668  (8) 


676  (6) 

Graphs of Polar Equations 


682  (9) 

Polar Equations of Conics 


691  (14) 


698  (1) 


699  (4) 


703  (1) 

Cumulative Test: Chapters 79 


704  (1) 

Analytic Geometry in Three Dimensions 


705  (36) 

The ThreeDimensional Coordinate System 


706  (8) 


714  (7) 

The Cross Product of Two Vectors 


721  (7) 

Lines and Planes in Space 


728  (13) 


737  (1) 


738  (2) 


740  (1) 

Limits and an Introduction to Calculus 


741  


742  (11) 

Techniques for Evaluating Limits 


753  (10) 


763  (10) 

Limits at Infinity and Limits of Sequences 


773  (9) 


782  


790  (1) 


791  (3) 


794  (1) 

Cumulative Test: Chapters 1011 


795  



Appendix A Technology Support Guide 


1  (24) 

Appendix B Review of Graphs, Equations, and Inequalities 


25  (59) 


25  (11) 


36  (11) 

Solving Equations Algebraically and Graphically 


47  (16) 

Solving Inequalities Algebraically and Graphically 


63  (12) 

Exploring Data: Representing Data Graphically 


75  (9) 

Appendix C Proofs of Selected Theorems 


84  (14) 

Appendix D Concepts in Statistics 


98  (11) 

Measures of Central Tendency and Dispersion 


98  (9) 


107  (2) 

Appendix E Solving Linear Equations and Inequalities 


109  (3) 

Appendix F Systems of Inequalities 


112  (19) 

Solving Systems of Inequalities 


112  (10) 


122  (9) 
Answers to OddNumbered Exercises and Tests 

131  (142) 
Index of Applications 

273  (4) 
Index 

277  