Precalculus: Real Mathematics, Real People

Revised Remark: These hints and tips reinforce or expand upon concepts, help students learn how to study mathematics, address special cases, or show alternative or additional steps to a solution of an example.

Why You Should Learn It Exercise: An engaging real-life application of the concepts in the section. This application exercise is typically described in the section opener as a motivator for the section.

Make a Decision Exercises: The Make a Decision exercises at the end of selected sections involve in-depth applied exercises in which the student will work with large, real-life data sets, often creating or analyzing models. These exercises are offered online at LarsonPrecalculus.com.

Revised Remark: These hints and tips reinforce or expand upon concepts, help students learn how to study mathematics, address special cases, or show alternative or additional steps to a solution of an example.

Why You Should Learn It Exercise: An engaging real-life application of the concepts in the section. This application exercise is typically described in the section opener as a motivator for the section.

Library of Parent Functions: To facilitate familiarity with the basic functions, a Library of Parent Functions contains several elementary and non-elementary functions. Each function is introduced at the first point of use in the text with a definition and description of basic characteristics. The Library of Parent Functions Examples are identified in the title of the example and there is a Review of Library of Parent Functions after Chapter 4. A summary of functions is presented on the inside cover of this text.

Make a Decision Exercises: The Make a Decision exercises at the end of selected sections involve in-depth applied exercises in which the student will work with large, real-life data sets, often creating or analyzing models. These exercises are offered online at LarsonPrecalculus.com.

Explore the Concept: Each Explore the Concept engages students in active discovery of mathematical concepts, strengthens critical thinking skills, and helps build intuition.

What's Wrong: Each What's Wrong points out common errors made using graphing utilities.

Technology Tip: Technology Tips provide graphing calculator tips or provide alternate methods of solving a problem using a graphing utility.

Algebra of Calculus: Throughout the text, special emphasis is given to the algebraic techniques used in calculus. Algebra of calculus examples and exercises are integrated throughout the text.

Algebraic-Graphical-Numerical Exercises: These exercises allow students to solve a problem using multiple approaches: algebraic, graphical, and numerical. This helps students see that a problem can be solved in more than one way and that different methods yield the same result.

Modeling Data Exercises: These multi-part applications involve real-life data and offer students the opportunity to generate and analyze mathematical models.

Vocabulary and Concept Check: The Vocabulary and Concept Check appears at the beginning of the exercise set for each section. Each of these checks asks fill-in-the-blank, matching, and non-computational questions designed to help students learn mathematical terminology and to test basic understanding of that section's concepts.

NOTE: This title is also available in WebAssign with Corequisite Support that provides the flexibility to match any corequisite implementation model and empowers you to deliver high quality content at the right time for your students at an affordable price.

New Chapter Opener: Each Chapter Opener highlights real-life applications used in the examples and exercises.

New How Do You See It?: The How Do You See It? feature in each section presents a real-life exercise that students solve by visual inspection using the concepts learned in the lesson. This exercise is excellent for classroom discussion or test preparation.

New Checkpoints: Accompanying every example, the Checkpoint problems encourage immediate practice and check students' understanding of the concepts presented in the example. Students can view and listen to worked-out solutions of the Checkpoint problems in English or Spanish at LarsonPrecalculus.com.

New Data Spreadsheets: Downloadable, editable spreadsheets from LarsonPrecalculus.com let students use the data to solve exercises.

New LarsonPrecalculus.com: This companion website offers free access to multiple tools and resources that supplement student learning. Students can view and listen to worked-out solutions of Checkpoint problems in English or Spanish, download data sets, explore examples, watch lesson videos, and much more.