Higher Education

Modeling, Functions, and Graphs: Algebra for College Students, 4th Edition

  • includes iLrn™ Printed Access Card
  • Katherine Yoshiwara Los Angeles Pierce College
  • Bruce Yoshiwara Los Angeles Pierce College
  • ISBN-10: 0534419410  |  ISBN-13: 9780534419417
  • 752 Pages
  • Previous Editions: 2001, 2001, 1996
  • © 2007 | Published
  • College Bookstore Wholesale Price = $230.50



The Fourth Edition of Yoshiwara and Yoshiwara's MODELING, FUNCTIONS, AND GRAPHS: ALGEBRA FOR COLLEGE STUDENTS includes content found in a typical algebra course, along with introductions to curve-fitting and display of data. Yoshiwara and Yoshiwara focus on three core themes throughout their textbook: Modeling, Functions, and Graphs. In their work of modeling and functions, the authors utilize the Rule of Four, which is that all problems should be considered using algebraic, numerical, graphical, and verbal methods. The authors motivate students to acquire the skills and techniques of algebra by placing them in the context of simple applications that use real-life data.

Features and Benefits

  • INVESTIGATIONS. Each chapter begins with an Investigation of an applied problem. Investigations allow guided explorations of open-ended modeling problems and are carried throughout the text.
  • RULE OF FOUR INTEGRATION. To illustrate the Rule of Four, functions are shown in a variety of problems through use verbal descriptions, tables of values, algebraic expressions, and graphs.
  • Real-life examples. Carefully chosen examples and exercises include authentic applications from a variety of disciplines.

Table of Contents

Linear Models. Definitions and Notation. Graphs of Functions. Slope and Rate of Change. Linear Functions. Linear Regression.
Nonlinear Models. Some Basic Functions. Transformations of Graphs. Functions as Models. The Absolute Value Function. Domain and Range. Summary and Review.
Variation, Integer Exponents. Roots and Radicals. Rational Exponents. Change of Variables. Joint Variation.
Exponential Growth and Decay. Exponential Functions. Logarithms. Exponential Models.
Inverse Functions. Log Scales. The Natural Base. Log Transformations.
Solving Quadratic Equations. Factors and x-Intercepts. Parabolas. Problem Solving. Quadratic Inequalities. Curve Fitting.
Polynomial Functions. Graphs of Polynomials. Complex Numbers. Graphs of Rational Functions. Equations with Algebraic Fractions.
Systems of Linear Equations. Solving Linear Systems in Two Variables. Systems of Linear Equations in Three Variables. Solving Linear Systems Using Matrices. Linear Inequalities. Linear Programming.
Numbers and Operations. Algebraic Expressions and Problem Solving. Linear Equations and Inequalities. Graphs and Equations. Laws of Exponents. Polynomials and Factoring. Radicals. Algebraic Fractions. Facts from Geometry. The Real Number System.
Appendix B.
Using a Graphing Calculator.

What's New

  • Chapter Opener Scenarios engage students with a problem that applies mathematics to a real-life situation of historical or contemporary significance.
  • Section Summaries help students focus their studying with vocabulary words, review of concepts, study questions, and a list of mastery skills.
  • Updated and new applications. Over 800 new problems and 70 new examples and exercises in the reading that use real-life data have been incorporated into this edition.

Alternate Formats

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  • Non-Media Version

    ISBN-10: 0495113069 | ISBN-13: 9780495113065

    List Price = $318.95  | College Bookstore Wholesale Price = $239.25


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Instructor Supplements

iLrn™ Instructor’s Version  (ISBN-10: 0534419488 | ISBN-13: 9780534419486)

Part of the CengageNOW suite of technology solutions. Providing instructors and students with unsurpassed control, variety, and all-in-one utility, iLrn is a powerful and fully integrated teaching and learning system. iLrn ties together five fundamental learning activities: diagnostics, tutorials, homework, quizzing, and testing. Easy to use, iLrn offers instructors complete control when creating assessments in which they can draw from the wealth of exercises provided or create their own questions. iLrn features the greatest variety of problem types, allowing instructors to assess the way they teach! A real time-saver for instructors, iLrn offers automatic grading of homework, quizzes, and tests with results flowing directly into the gradebook. The auto-enrollment feature also saves time with course setup as students self-enroll into the course gradebook. iLrn provides seamless integration with Blackboard® and WebCT™. Contact your local Cengage Learning representative for information on instructor setup.

Complete Solutions Manual  (ISBN-10: 0534419437 | ISBN-13: 9780534419431)

The Complete Solutions Manual provides worked-out solutions to all of the problems in the text.

iLrn™ Tutorial Student Instant Access Code  (ISBN-10: 0495190152 | ISBN-13: 9780495190158)

By purchasing the 1pass Instant Access for this text, students not using a new text can access iLrn™ Tutorial with a single password at academic.cengage.com.

List Price = $62.00  | CengageBrain Price = $62.00  | College Bookstore Wholesale Price = $62.00

Instructor's Edition (with iLrn)  (ISBN-10: 0534419429 | ISBN-13: 9780534419424)

The Instructor's Edition provides the complete student text with solutions next to each respective exercise. A RESOURCE INTEGRATION GUIDE, included in the Annotated Instructor's Edition, makes this text eminently teachable by offering a chapter-by-chapter glimpse of how the supplements support the learning system in the text. It reduces the time-consuming task of choosing activities or graphing calculator exercises and directing students to valuable study aids.

Student Supplements

iLrn™ Tutorial Student Instant Access Code  (ISBN-10: 0495190152 | ISBN-13: 9780495190158)

By purchasing the 1pass Instant Access for this text, students not using a new text can access iLrn™ Tutorial with a single password at academic.cengage.com.

List Price = $62.00  | CengageBrain Price = $62.00  | College Bookstore Wholesale Price = $62.00

Meet the Author

Author Bio

Katherine Yoshiwara

Kathy Yoshiwara was born in Derby in the UK and grew up in Richmond, Virginia. She attended Michigan State University, where she studied Greek and mathematics. She did graduate work at UCLA and earned an MA in mathematics in 1977. She left UCLA in 1979 to join the faculty at Pierce College, where she has been teaching ever since, except for the 1988-1999 academic year, when she taught at Barnsley College in Yorkshire (northern England) on a Fulbright teaching exchange. She is the author or co-author of three mathematics textbooks and is a member of the Calculus Consortium for Higher Education, where she is part of the writing team for their Precalculus text. She is a member of the MAA (Mathematical Association of America) and currently serves on the Committee for Curriculum Renewal and the First Two Years (CRAFTY). In 1996 she received the Award for Distinguished College or University Teaching of Mathematics from the Southern California Section of the MAA. She is married to Bruce Yoshiwara and benefits from his expertise in all things mathematical.

Bruce Yoshiwara

Bruce Yoshiwara has taught full-time at L.A. Pierce College since 1989 (except for the 1998-1999 academic year, when he and his wife Katherine Yoshiwara both had Fulbright Teacher Exchange positions at Barnsley College, England). He is co-author (Katherine is the principal author) of three algebra and pre-algebra textbooks. He serves on the Mathematical Association of American (MAA) Committee on Computers in Mathematics Education and is a consultant for Project NExT (New Experiences in Teaching). Bruce is editor of the Pierce Math Department newsletter and maintains the department web page.