A Word from the Authors (Preface) 

vi  
Features Highlights 

viii  
An Introduction to Graphing Utilities 

xv  


1  (117) 


2  (10) 


12  (13) 

The Cartesian Plane and Graphs of Equations 


25  (13) 

Linear Equations in Two Variables 


38  (15) 


53  (14) 

Analyzing Graphs of Functions 


67  (13) 

Shifting, Reflecting, and Stretching Graphs 


80  (11) 

Combinations of Functions 


91  (8) 


99  (19) 


109  (2) 


111  (5) 

Chapter Project: A Graphical Approach to Maximization 


116  (1) 


117  (1) 


118  (90) 

Radian and Degree Measure 


120  (11) 

Trigonometric Functions: The Unit Circle 


131  (7) 

Right Triangle Trigonometry 


138  (11) 

Trigonometric Functions of Any Angle 


149  (9) 

Graphs of Sine and Cosine Functions 


158  (11) 

Graphs of Other Trigonometric Functions 


169  (11) 

Inverse Trigonometric Functions 


180  (10) 


190  (18) 


201  (1) 


202  (4) 

Chapter Project: Analyzing a Graph 


206  (1) 


207  (1) 


208  (52) 

Using Fundamental Identities 


210  (8) 

Verifying Trigonometric Identities 


218  (7) 

Solving Trigonometric Equations 


225  (11) 

Sum and Difference Formulas 


236  (7) 

MultipleAngle and ProducttoSum Formulas 


243  (17) 


254  (1) 


255  (3) 

Chapter Project: Projectile Motion 


258  (1) 


259  (1) 

Additional Topics in Trigonometry 


260  (48) 


262  (9) 


271  (8) 


279  (13) 


292  (16) 


300  (1) 


301  (3) 

Chapter Project: Adding Vectors Graphically 


304  (1) 


305  (1) 

Cumulative Test: Chapters 13 


306  (2) 


308  (34) 


310  (7) 

Complex Solutions of Equations 


317  (7) 

Trigonometric Form of a Complex Number 


324  (7) 


331  (11) 


337  (1) 


338  (2) 

Chapter Project: Using a Graphing Utility to Create Fractals 


340  (1) 


341  (1) 

Exponential and Logarithmic Functions 


342  (62) 

Exponential Functions and Their Graphs 


344  (12) 

Logarithmic Functions and Their Graphs 


356  (11) 


367  (6) 

Exponential and Logarithmic Equations 


373  (11) 

Exponential and Logarithmic Models 


384  (20) 


397  (1) 


398  (4) 

Chapter Project: Graphical Approach to Compound Interest 


402  (1) 


403  (1) 

Topics in Analytic Geometry 


404  (2) 


406  (7) 

Introduction to Conics: Parabolas 


413  (8) 


422  (9) 


431  (9) 


440  (8) 


448  (8) 


456  (6) 

Graphs of Polar Equations 


462  (8) 

Polar Equations of Conics 


470  (7) 


477  (1) 


478  (4) 

Chapter Project: Polar, Rectangular, and Parametric Forms 


482  (1) 


483  (1) 

Cumulative Test: Chapters 46 


484  
Appendices 


Appendix A Proofs of Selected Theorems 


A1  

Appendix B Concepts in Statistics 


A12  


A12  

B.2 Measures of Central Tendency and Dispersion 


A16  

B.3 Least Squares Regression 


A25  
Answers to OddNumbered Exercises and Tests 

A29  
Index of Applications 

A111  
Index 

A113  