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, Createspace, 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.
Errata (errors). Any errors reported will be cataloged here.
Contents  Book  Detailed Solutions 

Whole Book  2nd Edition  PDF Order full book from Lulu Chp 14: PDF, Lulu or Amazon Chp 59: PDF, Lulu or Amazon 

Front Matter  PDF DOCX  
Chapter 1: Functions

PDF DOCX  PDF DOCX 
Chapter 2: Linear Functions

PDF DOCX  PDF DOCX 
Chapter 3: Polynomial and Rational Functions

PDF DOCX  PDF DOCX 
Chapter 4: Exponential and Logarithmic Functions

PDF DOCX  PDF DOCX 
Chapter 5: Trigonometric Functions of Angles

PDF DOCX  PDF DOCX 
Chapter 6: Periodic Functions

PDF DOCX  PDF DOCX 
Chapter 7: Trigonometric Equations and Identities

PDF DOCX  PDF DOCX 
Chapter 8: Further Applications of Trigonometry

PDF DOCX  PDF DOCX 
Chapter 9: Conics

PDF DOCX  PDF DOCX 
Answers to Selected Exercises  PDF DOCX  
Index  PDF DOCX 
Text last updated: August 2020. Latest Edition: 2.2. The PDF links and Amazon print links are edition 2.2. The Lulu print links are still for edition 2.1, as they've raised their printing prices on new books higher than we're willing to charge, so are looking into new options.
This work
is licensed under a
Creative Commons AttributionShare Alike 3.0 United States License.
The detailed solutions manual was contributed by Shoreline Community College and Evergreen State College, and is licensed under a Creative Commons AttributionNonCommercial ShareAlike License.
Note on versions: The links above will redirect you to the latest edition of the chapters. Older versions remain on the website, and can be accessed using direct links to the specific edition's file name, like http://www.opentextbookstore.com/precalc/2.0/Chapter 1.pdf
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