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Overview

Part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, PRECALCULUS FUNCTIONS AND GRAPHS: A GRAPHING APPROACH, 5/e, is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Continuing the series’ emphasis on student support, the Fifth Edition introduces Prerequisite Skills Review. For selected examples throughout the text, the Prerequisite Skills Review directs students to previous sections in the text to review concepts and skills needed to master the material at hand. In addition, prerequisite skills review exercises in Eduspace are referenced in every exercise set. The Larson team achieves accessibility through careful writing and design, including examples with detailed solutions that begin and end on the same page, which maximizes the readability of the text. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. This Enhanced Edition includes instant access to Enhanced WebAssign®, the most widely-used and reliable homework system. Enhanced WebAssign® presents thousands of problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.

Ron Larson, The Pennsylvania State University, The Behrend College

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 2013 Text and Academic Authors Association Award for CALCULUS, 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 bestselling Calculus series published by Cengage.

Robert P. Hostetler, The Pennsylvania State University, The Behrend College

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Bruce H. Edwards, University of Florida

Dr. Bruce H. Edwards is Professor of Mathematics at the University of Florida. Professor Edwards received his B.S. in Mathematics from Stanford University and his Ph.D. in Mathematics from Dartmouth College. He taught mathematics at a university near Bogotá, Colombia, as a Peace Corps volunteer. While teaching at the University of Florida, Professor Edwards has won many teaching awards, including Teacher of the Year in the College of Liberal Arts and Sciences, Liberal Arts and Sciences Student Council Teacher of the Year, and the University of Florida Honors Program Teacher of the Year. He was selected by the Office of Alumni Affairs to be the Distinguished Alumni Professor for 1991–1993. Professor Edwards has taught a variety of mathematics courses at the University of Florida, from first-year calculus to graduate-level classes in algebra and numerical analysis. He has been a frequent speaker at research conferences and meetings of the National Council of Teachers of Mathematics. Professor Edwards has produced five mathematics courses for the Great Courses (The Teaching Company). He has also coauthored a wide range of award winning mathematics textbooks with Professor Ron Larson.
  • This Enhanced Edition includes instant access to Enhanced WebAssign®, the most widely-used and reliable homework system. Enhanced WebAssign® presents thousands of problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.
  • New! The Nutshell Appendix reviews the essentials of each function, discussed in the Library of Functions feature, and offers study capsules with properties, methods, and examples of the major concepts covered in the textbook. This appendix is an ideal study aid for students.
  • New! Progressive Summaries outline newly introduced topics every three chapters and contextualize them within the framework of the course.
  • New! Make a Decision exercises—extended modeling applications presented at the end of selected exercise sets—give students the opportunity to apply the mathematical concepts and techniques they’ve learned to large sets of real data.
  • Updated! The Library of Functions, threaded throughout the text, defines each elementary function and its characteristics at first point of use. The Fifth Edition incorporates new exercises that tests students’ understanding of these functions. All elementary functions are also presented in a summary on the front endpapers of the text for convenient reference.
  • Updated! The Chapter Summaries have been updated to include the Key Terms and Key concepts that are covered in the chapter. These chapter summaries are an effective study aid because they provide a single point of reference for review.
  • Updated! The Proofs of Selected Theorems are now presented at the end of each chapter for easy reference.
  • The Larson team provides an abundance of features that help students use technology to visualize and understand mathematical concepts. Technology Tips point out the pros and cons of technology use in certain mathematical situations. They also provide alternative methods of solving or checking a problem using a graphing calculator. Students may sometimes be misled by the visuals generated by graphing calculators, so the authors use color to enhance the graphing calculator displays in the textbook, where appropriate. This enables students to visualize concepts accurately and efficiently. Technology Support notes appear throughout the text and refer students to the Technology Support Appendix, where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. The Technology Support notes also direct students to the Graphing Technology Guide, on the textbook’s website, for keystroke support for numerous calculator models.
  • Carefully positioned throughout the text, Explorations engage students in active discovery of mathematical concepts, strengthening critical thinking skills and helping them to develop an intuitive understanding of theoretical concepts.
1. FUNCTIONS AND THEIR GRAPHS.
Introduction to Library of Parent Functions. Lines in the Plane. Functions. Graphs of Functions. Shifting, Reflection, and Stretching Graphs. Combinations of Functions. Inverse Functions. Linear Models and Scatter Plots.
2. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions. Polynomial Functions of Higher Degree. Real Zeros of Polynomial Functions. Complex Numbers. The Fundamental Theorem of Algebra. Rational Functions and Asymptotes. Graphs of Rational Functions. Quadratic Models. Progressive Summary: Chapters 1-2.
3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Nonlinear Models. Cumulative Review: Chapters 1-3. Progressive Summary: Chapters 1-3.
4. TRIGONOMETRIC FUNCTIONS.
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.
5. ANALYTIC TRIGONOMETRY.
Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas.
6. ADDITIONAL TOPICS IN TRIGONOMETRY.
Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Trigonometric Form of a Complex Number. Cumulative Test: Chapters 4-6. Progressive Summary: Chapters 1-6.
7. LINEAR SYSTEMS AND MATRICES.
Solving Systems of Equations. Systems of Linear Equations in Two Variables. Multivariable Linear Systems. 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.
8. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability.
9. TOPICS IN ANALYTIC GEOMETRY.
Circles and Parabolas. Ellipses. Hyperbolas. Rotation and Systems of Quadratic Equations. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics. Cumulative Test: Chapters 7-9. Progressive Summary: Chapters 3-9.
10. ANALYTIC GEOMETRY IN THREE DIMENSIONS.
The Three-Dimensional Coordinate System. Vectors in Space. The Cross Product of Two Vectors. Lines and Planes in Space.
11. LIMITS AND AN INTRODUCTION TO CALCULUS.
Introduction to Limits. Techniques for Evaluating Limits. The Tangent Line Problem. Limits at Infinity and Limits of Sequences. The Area Problem. Cumulative Test: Chapters 10-11. Progressive Summary: Chapters 3-11.
Appendix A. Technology Support Guide.
Appendix B. Review of Graphs, Equations, and Inequalities.
B.1 The Cartesian Plane.
B.2 Graphs of Equations.
B.3 Solving Equations Algebraically and Graphically.
B.4 Solving Inequalities Algebraically and Graphically.
B.5 Solving Inequalities Algebraically and Graphically.
B.6 Representing Data Graphically.
Appendix C. Concepts in Statistics.
C.1 Measures of Central Tendency and Dispersion.
C.2 Least Squares Regression.
Appendix D. Variation.
Appendix E. Solving Linear Equations and Inequalities.
Appendix F. Systems of Inequalities.
F.1 Solving Systems of Inequalities.
F.2 Linear Programming.
Appendix G. Study Capsules.
WebAssign
Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

MATHSpace CD-ROM without eSolutions

ISBN: 9780618854486

DVD

ISBN: 9780618851867
These text-specific DVDs cover all sections of the text and provide key explanations of key concepts, examples, exercises, and applications in a lecture-based format.

HM Testing

ISBN: 9780618854493
HM Testing (powered by Diploma), provides instructors with wide array of algorithmic items along with improved functionality and ease of use. HM Testing offers all the tools needed to create, author, deliver, and customize multiple types of tests--including authoring and editing algorithmic questions. In addition to producing an unlimited number of tests for each chapter, including cumulative tests and final exams, HM Testing also offers instructors the ability to deliver tests online, or by paper and pencil.

Student Solutions Guide

ISBN: 9780618851874
Written by the author, this manual offers step-by-step solutions for all odd-numbered text exercises as well as Chapter and Cumulative tests. In addition to Chapter and Cumulative tests, the manual also provides practice tests and practice test answers.

FOR STUDENTS

MATHSpace CD-ROM without eSolutions

ISBN: 9780618854486

Student Solutions Guide

ISBN: 9780618851874
Written by the author, this manual offers step-by-step solutions for all odd-numbered text exercises as well as Chapter and Cumulative tests. In addition to Chapter and Cumulative tests, the manual also provides practice tests and practice test answers.