Professional

# Precalculus, 9th Edition

### Overview

Larson's market-leading text, PRECALCULUS is known for delivering sound, consistently structured explanations and exercises of mathematical concepts to expertly prepare students for the study of calculus. With the ninth edition, the author continues to revolutionize the way students learn material by incorporating more real-world applications, ongoing review, and innovative technology. How Do You See It? exercises 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.

### 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 PRECALCULUS is ideal for one- or two-semester courses.

1. FUNCTIONS AND THEIR GRAHS.
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.
2. POLYNOMIAL AND RATIONAL FUNCTIONS.
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.
3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
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.
4. TRIGONOMETRY.
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.
5. ANALYTIC TRIGONOMETRY.
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.
7. SYSTEMS OF EQUATIONS AND INEQUALITIES.
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.
8. MATRICES AND DETERMINANTS.
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.
9. SEQUENCES, SERIES, AND PROBABILITY.
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.
10. TOPICS IN ANALYTIC GEOMETRY.
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.
APPENDIX A.
Review of Fundamental Concepts of Algebra.
A.1 Real Numbers and Their Properties.
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.
APPENDIX B.
Concepts in Statistics (web).
B.1 Representing Data.
B.2 Measures of Central Tendency and Dispersion.
B.3 Least Squares Regression.

### What's New

• 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.

### Bundle: Text + Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses

ISBN-10: 1285473256  | ISBN-13: 9781285473253

List Price = \$359.95

### ePack: Text + Enhanced WebAssign with eBook LOE Instant Access Code for One-Term Math and Science

ISBN-10:  1285715810 | ISBN-13:  9781285715810

List Price = \$359.95  | CengageBrain Price = \$359.95

## Supplements

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.

### Instructor Supplements

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

This manual contains solutions to all exercises from the text, including Chapter Review Exercises 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.

#### Online Solutions Builder  (ISBN-10: 1133960383 | ISBN-13: 9781133960386)

This online instructor database offers complete worked solutions to all exercises in the text, allowing you to create customized, secure solutions printouts (in PDF format) matched exactly to the problems you assign in class. For more information, visit http://www.cengage.com/solutionbuilder.

#### Student Solutions Manual  (ISBN-10: 1133949193 | ISBN-13: 9781133949190)

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.

List Price = \$110.95  | CengageBrain Price = \$110.95  | College Bookstore Wholesale Price = \$83.75

#### Precalculus, 9th: Student Notetaking Guide  (ISBN-10: 1133949045 | ISBN-13: 9781133949046)

This is an innovative study aid, in the form of a notebook organizer, that helps students develop a section-by-section summary of key concepts.

List Price = \$12.95  | College Bookstore Wholesale Price = \$10.00

#### CourseMate, 1 term (6 months) Instant Access  (ISBN-10: 1133951384 | ISBN-13: 9781133951384)

Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Maximize your course success with the integrated eBook and chapter-specific learning tools that include flashcards, quizzes, videos, and more in your CourseMate. Key Features: Interactive eBook, Engagement Tracker, Learning Objectives, Tutorial Quizzes, Glossary and Flashcards, and Web Links and References.

List Price = \$247.00  | CengageBrain Price = \$247.00  | College Bookstore Wholesale Price = \$247.00

#### Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

List Price = \$94.00  | CengageBrain Price = \$94.00  | College Bookstore Wholesale Price = \$94.00

### Student Supplements

#### LMS Integrated for CourseMate™, 1 term (6 months) Instant Access  (ISBN-10: 1285738438 | ISBN-13: 9781285738437)

List Price = \$247.00  | College Bookstore Wholesale Price = \$247.00

#### Student Solutions Manual  (ISBN-10: 1133949193 | ISBN-13: 9781133949190)

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.

List Price = \$110.95  | CengageBrain Price = \$110.95  | College Bookstore Wholesale Price = \$83.75

#### Precalculus, 9th: Student Notetaking Guide  (ISBN-10: 1133949045 | ISBN-13: 9781133949046)

This is an innovative study aid, in the form of a notebook organizer, that helps students develop a section-by-section summary of key concepts.

List Price = \$12.95  | College Bookstore Wholesale Price = \$10.00

#### CourseMate, 1 term (6 months) Instant Access  (ISBN-10: 1133951384 | ISBN-13: 9781133951384)

Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Maximize your course success with the integrated eBook and chapter-specific learning tools that include flashcards, quizzes, videos, and more in your CourseMate. Key Features: Interactive eBook, Engagement Tracker, Learning Objectives, Tutorial Quizzes, Glossary and Flashcards, and Web Links and References.

List Price = \$247.00  | CengageBrain Price = \$247.00  | College Bookstore Wholesale Price = \$247.00

#### Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

List Price = \$94.00  | CengageBrain Price = \$94.00  | College Bookstore Wholesale Price = \$94.00

Flashcards designed to work with your text can help you to review and learn essential terms and key concepts. Interactive flashcards include terms and definitions for each chapter. This is instant access product; at the completion of your purchase, simply go to "My Home" and gain immediate access to your product. Note: If you have purchased CourseMate for your title, flash cards are already included.

List Price = \$4.00  | College Bookstore Wholesale Price = \$4.00

List Price = \$5.00  | College Bookstore Wholesale Price = \$5.00