Preface 

ix  

Introduction to Functions and Graphs 


1  (100) 

Data, Numbers, and Algorithms 


2  (12) 


14  (12) 

Checking Basic Concepts for Sections 1.1 and 1.2 


26  (1) 

Functions and Their Representations 


26  (17) 

Types of Functions and Their Rates of Change 


43  (20) 

Checking Basic Concepts for Sections 1.3 and 1.4 


63  (1) 

Modeling Data with Functions 


63  (13) 

Transformations of Graphs 


76  (25) 

Checking Basic Concepts for Sections 1.5 and 1.6 


95  (1) 


95  (1) 


96  (3) 

Extended and Discovery Exercises 


99  (2) 

Linear Functions and Equations 


101  (81) 


102  (14) 


116  (15) 

Checking Basic Concepts for Sections 2.1 and 2.2 


131  (1) 


131  (16) 

PiecewiseDefined Functions 


147  (16) 

Checking Basic Concepts for Sections 2.3 and 2.4 


163  (1) 


163  (19) 

Checking Basic Concepts for Section 2.5 


176  (1) 


176  (1) 


177  (3) 

Extended and Discovery Exercises 


180  (2) 

Nonlinear Functions and Equations 


182  (114) 

Quadratic Equations and Inequalities 


183  (17) 

Nonlinear Functions and Their Graphs 


200  (19) 

Checking Basic Concepts for Sections 3.1 and 3.2 


219  (1) 

Polynomial Functions and Their Graphs 


219  (20) 

Real Zeros of Polynomial Functions 


239  (16) 

Checking Basic Concepts for Sections 3.3 and 3.4 


255  (1) 

The Fundamental Theorem of Algebra 


255  (13) 


268  (28) 

Checking Basic Concepts for Sections 3.5 and 3.6 


288  (1) 


289  (1) 


290  (3) 

Extended and Discovery Exercises 


293  (3) 


296  (90) 


297  (17) 

Inverse Functions and Their Representations 


314  (17) 

Checking Basic Concepts for Sections 4.1 and 4.2 


331  (1) 


331  (16) 


347  (19) 

Checking Basic Concepts for Sections 4.3 and 4.4 


366  (1) 

Exponential and Logarithmic Equations 


366  (20) 

Checking Basic Concepts for Section 4.5 


379  (1) 


380  (1) 


380  (4) 

Extended and Discovery Exercises 


384  (2) 

Systems of Equations and Inequalities 


386  (94) 

Functions and Equations of More than One Variable 


387  (14) 

Linear Systems of Equations and Inequalities in Two Variables 


401  (19) 

Checking Basic Concepts for Sections 5.1 and 5.2 


420  (1) 

Solutions of Linear Systems Using Matrices 


420  (14) 

Properties and Applications of Matrices 


434  (15) 

Checking Basic Concepts for Sections 5.3 and 5.4 


449  (1) 


449  (13) 


462  (18) 

Checking Basic Concepts for Sections 5.5 and 5.6 


472  (1) 


473  (1) 


473  (4) 

Extended and Discovery Exercises 


477  (3) 

Further Topics in Algebra 


480  (81) 


481  (14) 


495  (14) 

Checking Basic Concepts for Sections 6.1 and 6.2 


509  (1) 


509  (23) 

Checking Basic Concepts for Section 6.3 


531  (1) 


532  (12) 


544  (17) 

Checking Basic Concepts for Sections 6.4 and 6.5 


555  (1) 


556  (1) 


557  (2) 

Extended and Discovery Exercises 


559  (2) 
Bibliography 

561  
Answers to Selected Exercises 

A1  
Index of Applications 

I1  
Index 

I7  
TI83 Graphig Calculator Appendix 

AP1  