NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value—this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products.

Visualize. Interact. Succeed.

The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students “see the math” through its focus on visualization and technology. These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications. With the Sixth Edition, visualization is taken to a new level with technology, and students find even more ongoing review.

Also available with MyMathLab

MyMathLab^® is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

New Guided Visualizations in MyMathLab help students allow for hands-on manipulation to gain understanding of difficult concepts. References to 28 Just-In-Time review topics are placed throughout the text and MyMathLab to help students right when they need it most, and new Cumulative Review Assignments and Skill Maintenance Quizzes are pre-made and assignable in MyMathLab to help students connect concepts and maintain skills throughout the course. Plus, new Video Assessment Exercises and a new Video Notebook further enhance the MyMathLab course and resources available.

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

About our authors

Marvin Bittinger has taught math at the university level for more than 38 years, and he is now Professor Emeritus of mathematics education at Indiana University - Purdue University. Professor Bittinger has authored numerous textbooks on topics ranging from basic mathematics to algebra & trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy. His hobbies include hiking in Utah, baseball, golf and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled “Baseball and Mathematics.” In addition, he also has an interest in philosophy and theology, particularly apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 granddaughters.??

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels, with many years of developmental math and precalculus teaching experience at Indiana University - Purdue University Indianapolis. In addition to her career in textbook publishing she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children’s camp.

David Ellenbogen has taught math at the college level for nearly 30 years, spending most of that time in the Massachusetts and Vermont community college systems, where he has served on both curriculum and developmental math committees. He has taught at St. Michael’s College and The University of Vermont. Professor Ellenbogen has been active in the American Mathematical Association of Two-Year Colleges (AMATYC) since 1985, having served on its Developmental Mathematics Committee and as a delegate. He has been a member of the Mathematical Association of America (MAA) since 1979. He has authored dozens of texts on topics ranging from prealgebra to calculus and has delivered lectures on the use of language in mathematics. Professor Ellenbogen received his bachelor’s degree in mathematics from Bates College and his master’s degree in community college mathematics education from The University of Massachusetts - Amherst. In his spare time, he enjoys playing piano, biking, hiking, skiing and volunteer work. He currently serves on the boards of the Vermont Sierra Club and the Vermont Bicycle Pedestrian Coalition. He has 2 sons, Monroe and Zachary.?

Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University - Purdue University Indianapolis and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit, and spend time with her children.

Graphs, Functions, and Models
- 1.1 Introduction to Graphing
  - Visualizing the Graph
- 1.2 Functions and Graphs
- 1.3 Linear Functions, Slope, and Applications
  - Visualizing the Graph
  - Mid-Chapter Mixed Review
- 1.4 Equations of Lines and Modeling
- 1.5 Linear Equations, Functions, Zeros, and Applications
- 1.6 Solving Linear Inequalities
- Study Guide
- Review Exercises
- Test
More on Functions
- 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
- 2.2 The Algebra of Functions
- 2.3 The Composition of Functions
  - Mid-Chapter Mixed Review
- 2.4 Symmetry
- 2.5 Transformations
  - Visualizing the Graph
- 2.6 Variation and Application
- Study Guide
- Review Exercises
- Test
Quadratic Functions and Equations; Inequalities
- 3.1 The Complex Numbers
- 3.2 Quadratic Equations, Functions, Zeros, and Models
- 3.3 Analyzing Graphs of Quadratic Functions
  - Visualizing the Graph
  - Mid-Chapter Review
- 3.4 Solving Rational Equations and Radical Equations
- 3.5 Solving Equations and Inequalities with Absolute Value
- Study Guide
- Review Exercises
- Test
Polynomial Functions and Rational Functions
- 4.1 Polynomial Functions and Modeling
- 4.2 Graphing Polynomial Functions
  - Visualizing the Graph
- 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
  - Mid-Chapter Mixed Review
- 4.4 Theorems about Zeros of Polynomial Functions
- 4.5 Rational Functions
  - Visualizing the Graph
- 4.6 Polynomial Inequalities and Rational Inequalities
- Study Guide
- Review Exercises
- Test
Exponential Functions and Logarithmic Functions
- 5.1 Inverse Functions
- 5.2 Exponential Functions and Graphs
- 5.3 Logarithmic Functions and Graphs
  - Visualizing the Graph
  - Mid-Chapter Mixed Review
- 5.4 Properties of Logarithmic Functions
- 5.5 Solving Exponential Equations and Logarithmic Equations
- 5.6 Applications and Models: Growth and Decay; Compound Interest
- Study Guide
- Review Exercises
- Test
The Trigonometric Functions
- 6.1 Trigonometric Functions of Acute Angles
- 6.2 Applications of Right Triangles
- 6.3 Trigonometric Functions of Any Angle
  - Mid-Chapter Mixed Review
- 6.4 Radians, Arc Length, and Angular Speed
- 6.5 Circular Functions: Graphs and Properties
- 6.6 Graphs of Transformed Sine Functions and Cosine Functions
- Visualizing the Graph
- Study Guide
- Review Exercises
- Test
Trigonometric Identities, Inverse Functions, and Equations
- 7.1 Identities: Pythagorean and Sum and Difference
- 7.2 Identities: Cofunction, Double-Angle, and Half-Angle
- 7.3 Proving Trigonometric Identities
  - Mid-Chapter Mixed Review
- 7.4 Inverses of the Trigonometric Functions
- 7.5 Solving Trigonometric Equations
- Visualizing the Graph
- Study Guide
- Review Exercises
- Test
Applications of Trigonometry
- 8.1 The Law of Sines
- 8.2 The Law of Cosines
- 8.3 Complex Numbers: Trigonometric Notation
  - Mid-Chapter Mixed Review
- 8.4 Polar Coordinates and Graphs
  - Visualizing the Graph
- 8.5 Vectors and Applications
- 8.6 Vector Operations
- Study Guide
- Review Exercises
- Test
Systems of Equations and Matrices
- 9.1 Systems of Equations in Two Variables
  - Visualizing the Graph
- 9.2 Systems of Equations in Three Variables
- 9.3 Matrices and Systems of Equations
- 9.4 Matrix Operations
  - Mid-Chapter Mixed Review
- 9.5 Inverses of Matrices
- 9.6 Determinants and Cramer’s Rule
- 9.7 Systems of Inequalities and Linear Programming
- 9.8 Partial Fractions
- Study Guide
- Review Exercises
- Test
Analytic Geometry Topics
- 10.1 The Parabola
- 10.2 The Circle and the Ellipse
- 10.3 The Hyperbola
- 10.4 Nonlinear Systems of Equations and Inequalities
  - Visualizing the Graph
  - Mid-Chapter Mixed Review
- 10.5 Rotation of Axes
- 10.6 Polar Equations of Conics
- 10.7 Parametric Equations
- Study Guide
- Review Exercises
- Test
Sequences, Series, and Combinatorics
- 11.1 Sequences and Series
- 11.2 Arithmetic Sequences and Series
- 11.3 Geometric Sequences and Series
  - Visualizing the Graph
- 11.4 Mathematical Induction
  - Mid-Chapter Mixed Review
- 11.5 Combinatorics: Permutations
- 11.6 Combinatorics: Combinations
- 11.7 The Binomial Theorem
- 11.8 Probability
- Study Guide
- Review Exercises
- Test

Photo Credits

Answers // Additional Instructor’s Answers

Index

Index of Applications

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Rent More, Save More! Use code: ECRENTAL

Rent More, Save More! Use code: ECRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Precalculus Graphs and Models, A Right Triangle Approach

How Access Codes Work

How To: Textbook Rental

Summary