Higher Education

Precalculus, Hybrid Edition, 9th Edition

  • includes Enhanced WebAssign Printed Access Card and Start Smart Guide for Students
  • Ron Larson The Pennsylvania State University, The Behrend College
  • ISBN-10: 113395054X  |  ISBN-13: 9781133950547
  • 688 Pages
  • © 2014 | Published
  • College Bookstore Wholesale Price = $108.50



Larson's PRECALCULUS HYBRID, Ninth Edition, delivers the same sound, consistently structured explanations and exercises of mathematical concepts as his market-leading hardcover text, PRECALCULUS, Ninth Edition, combined with a briefer paperback format that engages students online with Enhanced WebAssign®. The HYBRID demonstrates Larson's commitment to revolutionizing the way instructors teach and students learn material by moving all the end-of-section exercises from the text online as well as incorporating more real-world applications, ongoing review, and innovative technology. Each new Larson HYBRID includes immediate student access to Enhanced WebAssign®. The ninth edition features "How Do You See It?" exercises that give students practice applying the concepts, and new "Summarize" features, "Checkpoint" problems, and a Companion Website reinforce understanding of the skill sets to help students better prepare for tests. Enhanced WebAssign® offers fully integrated content from the text, with the addition of end-of-section problems and chapter tests, as well as problem-specific videos, animations, and lecture videos.

Features and Benefits

  • "Side-by-Side Examples" help students see not only that a problem can be solved in more than one way but also how different methods--algebraically, graphically, and numerically--yield the same result. The side-by-side format also addresses many different learning styles.
  • "Algebra Helps" direct students to sections of the textbook where they can review algebra skills needed to master the current topic.
  • Technology features offer suggestions for effectively using tools such as calculators, graphing calculators, and spreadsheet programs to deepen student understanding of concepts, ease lengthy calculations, and provide alternate solution methods for verifying answers obtained by hand.
  • "Historical Notes" provide helpful information regarding basic mathematical foundations.
  • "Algebra of Calculus" examples and exercises throughout the text emphasize various algebraic techniques used in calculus.
  • Vocabulary exercises at the beginning of the exercise set for each section help students review previously learned vocabulary terms necessary to solve the section exercises.
  • Student projects in various sections and online feature in-depth applied exercises with large, real-life data sets, where students create or analyze models.
  • Chapter summaries include explanations and examples of the objectives taught in the chapter.
  • Larson's PRECALCULUS HYBRID is ideal for a two-term course.

Table of Contents

Rectangular Coordinates. Graphs of Equations. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Mathematical Modeling and Variation. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Complex Numbers. Zeros of Polynomial Functions. Rational Functions. Nonlinear Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 1-3. Proofs in Mathematics. P.S. Problem Solving.
Radian and Degree Measure. Trigonometric Functions: The Unit Circle. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Trigonometric Form of a Complex Number. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 4-6. Proofs in Mathematics. P.S. Problem Solving.
Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 7-9. Proofs in Mathematics. P.S. Problem Solving.
Lines. Introduction to Conics: Parabolas. Ellipses. Hyperbolas. Rotation of Conics. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
Review of Fundamental Concepts of Algebra.
A.1 Real Numbers and Their Properties.
A.2 Exponents and Radicals.
A.3 Polynomials and Factoring.
A.4 Rational Expressions.
A.5 Solving Equations.
A.6 Linear Inequalities in One Variable.
A.7 Errors and the Algebra of Calculus.
Concepts in Statistics (web).
B.1 Representing Data.
B.2 Measures of Central Tendency and Dispersion.
B.3 Least Squares Regression.

What's New

  • State-of-the-art package provides a cost-effective, briefer option for students--all end-of-section exercises are omitted from the text and appear online only and each new HYBRID includes immediate access to Enhanced WebAssign® and the Cengage YouBook.
  • Enhanced WebAssign® features fully integrated content from the text, including all end-of-section problems and chapter tests, as well as problem-specific videos, animations, and lecture videos. The robust online homework solution allows instructors to assign, collect, grade, and record homework assignments online, minimizing workload and streamlining the grading process. It also gives students the ability to stay organized with assignments and have up-to-date grade information.
  • Fresh chapter openers highlight real-life problems that connect to the examples and exercises presented in the following chapter.
  • Innovative "Summarize" features help students organize the lesson's key concepts into a concise summary, providing a valuable study tool at the end of each section.
  • Unprecedented "How Do You See It?" exercises in every section present real-life problems that students solve by visual inspection using the concepts in the lesson.
  • Original "Checkpoint" problems encourage immediate practice and check students' understanding of the concepts in the paired example.
  • New Series Companion Website features chapter projects, data tables, assessments, study tools, video solutions, and more to support students outside the text.
  • Enhanced "Exercise Sets" deliver more rigor, relevancy, and coverage than ever before and feature multi-step, real-life exercises to reinforce problem-solving skills and mastery of concepts.
  • Expanded "Section Objectives" offer students the opportunity to preview what will be presented in the upcoming section.
  • Enriched remarks reinforce or expand on concepts helping students learn how to study mathematics, avoid common errors, address special cases, or show alternative or additional steps to a solution of an example.
  • Up-to-the-minute homework support through CalcChat.com, an independent website, provides students with free solutions to all odd-numbered problems in the text.

Alternate Formats

Choose the format that best fits your student's budget and course goals

To customize your learning solution, contact your Learning Consultant for more information.

  • Book Only

    ISBN-10: 1133949185 | ISBN-13: 9781133949183

    List Price = $147.95  | College Bookstore Wholesale Price = $111.00

Efficacy and Outcomes


"I am very satisfied with the exercises as well as the review exercises, they are helpful and there is a range of easy, medium, and hard problems. There is a wealth of example problems and I can easily find examples that show where common algebraic mistakes occur."

— Professor Bradley R. Young


All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Complete Solutions Manual  (ISBN-10: 1133964575 | ISBN-13: 9781133964575)

This manual contains solutions to all exercises from the text, including Chapter Review Exercise, and Chapter Tests.

PowerLecture with ExamView®  (ISBN-10: 1133963137 | ISBN-13: 9781133963134)

The DVD-ROM provides the instructor with dynamic media tools for teaching Precalculus. PowerPoint® lecture slides and art slides of the figures from the text, together with electronic files for the Test Bank and a link to the Solution Builder, are available. The algorithmic ExamView® allows you to create, deliver, and customize tests (both print and online) in minutes with this easy-to-use assessment system. Enhance how your students interact with you, your lecture, and each other.

Meet the Author

Author Bio

Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.