Summary
The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage of linear, quadratic, polynomial, rational, exponential and logarithmic functions. In addition, this book discusses the zeros of a polynomial function, systems of equations and inequalities, probability, and conics. For anyone who needs to brush up on everyday or businessrelated mathematics.
Table of Contents
Preface to the Instructor 

xi  
Preface to the Student 

xvi  


xxvii  
Photo Credits 

xxxiii  


1  (88) 


2  (15) 


17  (8) 


25  (5) 


30  (9) 


39  (11) 


50  (9) 


59  (12) 


71  (8) 


79  (10) 


84  (5) 


89  (106) 

Rectangular Coordinates; Graphing Utilities 


90  (10) 

Introduction to Graphing Equations 


100  (9) 

Solving Equations Using a Graphing Utility; Linear and Quadratic Equations 


109  (18) 

Setting Up Equations; Applications 


127  (15) 

Radical Equations; Equations Quadratic in Form; Absolute Value Equations 


142  (7) 


149  (14) 


163  (17) 


180  (15) 


186  (6) 


192  (3) 

Linear and Quadratic Functions 


195  (60) 


196  (19) 

Linear Functions and Models 


215  (11) 


226  (11) 


237  (18) 


248  (4) 


252  (1) 


252  (3) 

Functions and Their Graphs 


255  (68) 

Symmetry; Graphing Key Equations 


256  (7) 


263  (13) 

Library of Functions; PiecewiseDefined Functions 


276  (10) 

Graphing Techinques: Transformations 


286  (13) 

Operations on Functions; Composite Functions 


299  (10) 

Mathematical Models: Constructing Functions 


309  (14) 


317  (3) 


320  (1) 


321  (2) 

Polynomial and Rational Functions 


323  (56) 

Power Functions and Models 


324  (6) 

Polynomial Functions and Models 


330  (13) 


343  (12) 

Rational Functions II: Analyzing Graphs 


355  (10) 

Polynomial and Rational Inequalities 


365  (14) 


373  (3) 


376  (1) 


377  (2) 

The Zeros of a Polynomial Function 


379  (38) 


380  (4) 

The Real Zeros of a Polynomial Function 


384  (14) 

Complex Numbers; Quadratic Equations with a Negative Discriminant 


398  (9) 

Complex Zeros; Fundamental Theorem of Algebra 


407  (10) 


412  (2) 


414  (2) 


416  (1) 

Exponential and Logarithmic Functions 


417  (94) 

OnetoOne Functions: Inverse Functions 


418  (13) 


431  (14) 


445  (12) 


457  (10) 

Logarithmic and Exponential Equations 


467  (4) 


471  (11) 


482  (11) 

Exponential, Logarithmic, and Logistic Models 


493  (18) 


502  (6) 


508  (2) 


510  (1) 

Systems of Equations And Inequalities 


511  (98) 

Systems of Linear Equations: Two Equations Containing Two Variables 


512  (11) 

Systems of Linear Equations: Three Equations Containing Three Variables 


523  (6) 

Systems of Linear Equations: Matrices 


529  (18) 

Systems of Linear Equations: Determinants 


547  (12) 


559  (18) 

Systems of Linear Inequalities; Linear Programming 


577  (16) 

Partial Fraction Decomposition 


593  (16) 


601  (5) 


606  (1) 


607  (2) 

Sequences; Induction; The Binomial Theorem 


609  (50) 


610  (15) 


625  (6) 

Geometric Sequences; Geometric Series 


631  (11) 


642  (4) 


646  (13) 


654  (3) 


657  (1) 


658  (1) 


659  (42) 


660  (6) 

Permutations and Combinations 


666  (11) 

Probability of Equally Likely Outcomes 


677  (13) 

Obtaining Probabilities from Data 


690  (11) 


695  (4) 


699  (1) 


700  (1) 


701  (1) 


702  (1) 


703  (12) 


715  (12) 


727  (15) 

Systems of Nonlinear Equations 


742  (11) 


753  (3) 


756  (1) 


757  
Answers 

1  (1) 
Index 

1  
Excerpts
As professors at both an urban public university and a community college, Michael Sullivan and Michael Sullivan, III are aware of the varied needs of College Algebra students, ranging from those who have little mathematical background and a fear of mathematics courses, to those having a strong mathematical education and a high level of motivation. For some of your students, this will be their last course in mathematics, while others will further their mathematical education. This text is written for both groups. As a teacher, and as an author of precalculus, engineering calculus, finite math, and business calculus texts, Michael understands what students must know if they are to be focused and successful in upper level math courses. However, as a father of four, including the coauthor, he also understands the realities of college life. His coauthor and son, Michael Sullivan III, believes passionately in the value of technology as a tool for learning that enhances understanding without sacrificing important skills. Together, both authors have taken great pains to ensure that the text contains solid, studentfriendly examples and problems, as well as a clear and seamless writing style. We encourage you to share with us your experiences teaching from this text. In the Third Edition The third edition builds upon a strong foundation by integrating new features and techniques that further enhance student interest and involvement. The elements of previous editions that have proved successful remain, while many changes, some obvious, others subtle, have been made. One important benefit of authoring a successful series is the broadbased feedback upon which improvements and additions are ultimately based. Virtually every change to this edition is the result of thoughtful comments and suggestions made by colleagues and students who have used previous editions. This feedback has proved invaluable and has been used to make changes that improve the flow, usability, and accessibility of the text. For example, some topics have been moved to better reflect the way teachers approach the course and problems have been added where more practice was needed. The supplements package has been enhanced through upgrading traditional supplements and adding innovative media components. Reorganized Content for College Algebra Appendix Review Now expanded, this material appears in the beginning of the book as Chapter R Chapter 1 Scatter diagrams now appear in Section 2.2 Linear Functions and Models Section 1.2 has been split into two sections. In 3/e Section 1.2 contains point plotting, graphing equations on a graphing utility, and intercepts. Section 3.1 covers symmetry and graphing key equations. This adheres to the "just in time approach" by placing symmetry and key equations closer to functions. Section 1.3 from 2/e has been split into two sections1.3 and 1.5. Section 1.5 has been expanded to include quadraticinform equations. Chapter 2 Section 2.2 now includes the discussion on scatter diagrams. Quadratic equations now appears earlier as part of Section 1.3. Chapter 3 Section 3.1 contains the discussion on symmetry and graphing key equations. Section 3.1 from 2/e is now two sections: Section 3.2 covers properties of functions, while Section 3.3 covers the library of functions and piecewisedefined functions. Chapter 4 This chapter contains Sections 4.1, 4.2, 4.7 and 4.8 from 2/e. The section on rational functions has been split into two sections to accommodate a single lecture for each section. Chapter 5 This chapter contains the remaining sections of Chapter 4 from 2/e. Chapter 6 (Formerly Chapter 5) Section 6.2 now includes a discussion of basic exponential equat