Precalculus: An Investigation of Functions is a free, open textbook covering a twoquarter precalculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.
The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisted more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation.
In addition to the paper homework sets, algorithmically generated online homework is available as part of a complete course shell package, which also includes a sample syllabus, teacher notes with lecture examples, sample quizzes and exams, printable classwork sheets and handouts, and chapter review problems. If you teach in Washington State, you can find the course shell in the WAMAP.org template course list. For those located elsewhere, you can access the course shell at MyOpenMath.com. A selfstudy version of the online course exercises is also available on MyOpenMath.com for students wanting to learn the material on their own, or who need a refresher.
The whole book or individual chapters are available for download below, or you can order a bound printed copy from Lulu.com or Amazon. If you are providing a link to students or a bookstore to purchase printed copies of the book, please direct them to this page. If you are an instructor and are using this book with your class, please drop us an email so we can track use and keep you updated with changes.
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Contents  Book  Detailed Solutions 

Whole Book  2nd Edition 
Full book: PDF
HTML,
Lulu or Amazon ISBN: 9781955576000 Chp 14: PDF, Lulu or Amazon ISBN: 9781548407124 Chp 59: PDF, Lulu or Amazon ISBN: 9781548407728 

Front Matter  PDF DOCX  
Chapter 1: Functions

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Chapter 2: Linear Functions

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Chapter 3: Polynomial and Rational Functions

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Chapter 4: Exponential and Logarithmic Functions

PDF DOCX  PDF DOCX 
Chapter 5: Trigonometric Functions of Angles

PDF DOCX  PDF DOCX 
Chapter 6: Periodic Functions

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Chapter 7: Trigonometric Equations and Identities

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Chapter 8: Further Applications of Trigonometry

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Chapter 9: Conics

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Answers to Selected Exercises  PDF DOCX  
Index  PDF DOCX 
Text last updated: July 2022. Latest Edition: 2.3.
Accessibility Note: The Word files contain equations in Equation Editor format, and graphs and images have alttext in the primary text, but not the exercises. A screen reader friendly HTML version of the book can be read on LibreTexts
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The detailed solutions manual was contributed by Shoreline Community College and Evergreen State College, and is licensed under a Creative Commons AttributionNonCommercial ShareAlike License.
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Note: On June 5, 2017, Edition 2.0 was released. The links below point to this, the most current version. This revision is not page number or section equivalent to the previous 1.x editions. If you are looking for the original first edition (black cover), please go here