Pearson - Graphical Approach to Algebra and Trigonometry, A, 5/E - John Hornsby, Margaret L. Lial & Gary K. Rockswold

In this section:

Description

A Graphical Approach to Algebra and Trigonometry illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities.

With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Algebra and Trigonometry continues to incorporate an open design, with helpful features and careful explanations of topics.

Features

Chapter openers provide a Chapter Outline and a motivating application topic that is tied to the chapter content.
Enhanced examples have replaced many examples in this edition. All solutions have been carefully polished to incorporate more side comments.
Dual-Solution Format displays selected examples with side-by-side analytic and graphing calculator solutions, to connect traditional analytic methods for solving problems with graphical methods of solution or support. Some of these examples are marked with the graphing calculator icon to indicate that additional information on the graphing calculator solution is included in the Graphing Calculator Manual that accompanies the text.
Pointers direct students to comments that include on-the-spot reminders and warnings about common pitfalls.
Highlighted section and figure references within the text are shown using boldface type when referring to numbered sections (e.g., Section 2.1) and the corresponding font when referring to numbered figures (e.g., Figure 1).
Figures and photos appeal to today’s students who are more visually oriented than ever. As a result, more figures, diagrams, tables, and graphs, including the “hand-drawn” style of graphs are provided whenever possible. Photos accompany applications in examples and exercises.
Function Capsule boxes offer a comprehensive, visual introduction to each class of function and serve as an excellent resource for reference and review. Each capsule includes traditional and calculator graphs and a calculator table of values, as well as the domain, range, and other specific information about the function. Abbreviated versions of function capsules are provided on the inside back cover of the text.
What Went Wrong? features anticipate typical errors that students make when using graphing technology and provides an avenue for instructors to highlight and discuss such errors. Answers are included on the same page as the “What Went Wrong?” boxes.
Cautions and Notes warn students of common errors and emphasize important ideas throughout the exposition.
Looking Ahead to Calculus are margin notes that provide glimpses of how the algebraic topics currently being studied are used in calculus.
Technology Notes appear in the margin and provide tips to students on how to use graphing calculators more effectively. Some notes are marked with a graphing calculator icon to indicate that additional related information on graphing technology is included in the Graphing Calculator Manual that accompanies the text.
For Discussion activities appear within the exposition or in the margins and offer material on important concepts for instructors and students to investigate or discuss in class.
Exercise sets include hundreds of new and revised exercises that provide students with ample opportunities to practice, apply, connect, and extend concepts and skills. Exercises include writing exercises as well as multiple-choice, matching, true/ false, and completion problems. Exercises marked Concept Checkfocus on mathematical thinking and conceptual understanding, while those marked Checking Analytic Skills are intended for students to solve without the use of a calculator. Real data has been updated throughout.
Relating Concepts groups of exercises appear in selected exercise sets. They tie together topics and highlight relationships among various concepts and skills. All answers to these problems appear in the answer section at the back of the student book.
Reviewing Basic Concepts sets of exercises appear every two or three sections and allow students to review and check their understanding of the material in preceding sections. All answers to these problems are included in the answer section at the back of the student book.
Chapter review material appears in each end-of-chapter Summary and features a section-by-section list of Key Terms and Symbols, in addition to Key Concepts. A comprehensive set of Chapter Review Exercises and a Chapter Test are also included.

New To This Edition

Hundreds of exercises are new or revised, many of which are devoted to skill development.

Examples and exercises throughout include new and updated applications that use current, real-world data.

Enhanced Examples have replaced many examples in this edition. All solutions have been carefully polished to incorporate more side comments.

Expanded coverage of graphing by hand appears throughout the text. Many additional graphs have been incorporated featuring a “hand-drawn” style that simulates what a student might actually sketch on graph paper into discussions and examples.

A subsection on division of any two polynomials has been added (Section 3.6).

More discussion and exercises involving factoring polynomials of higher degree are now included (Section 3.7).

A subsection on graphing rational functions that have no vertical asymptotes has been added (Section 4.2).

Rate-of-work problems as illustrations of applications of rational equations have been added (Section 4.3).

Inverse functions section now includes discussion of inverses of rational functions (Section 5.1).

Material on solving logarithmic inequalities and equations quadratic in form, where u = e^xis now included (Section 5.5).

Chapter 5 now concludes with a set of summary exercises, covering the first five chapters and focusing on domains, defining equations, and composition of the various classes of functions discussed up to that point.

Increased opportunity for solving linear systems graphically without the use of a calculator (Section 7.1).

Expanded the discussion of matrix inverses (Section 7.6).

Reordered the section on Counting Theory to precede coverage of the binomial theorem and mathematical induction in Chapter 8.

Table of Contents

Chapter 1 Linear Functions, Equations, and Inequalities

1.1 Real Numbers and the Rectangular Coordinate System

1.2 Introduction to Relations and Functions

Reviewing Basic Concepts

1.3 Linear Functions

1.4 Equations of Lines and Linear Models

Reviewing Basic Concepts

1.5 Linear Equations and Inequalities

1.6 Applications of Linear Functions

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 2 Analysis of Graphs of Functions

2.1 Graphs of Basic Functions and Relations; Symmetry

2.2 Vertical and Horizontal Shifts of Graphs

2.3 Stretching, Shrinking, and Reflecting Graphs

Reviewing Basic Concepts

2.4 Absolute Value Functions

2.5 Piecewise-Defined Functions

2.6 Operations and Composition

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 3 Polynomial Functions

3.1 Complex Numbers

3.2 Quadratic Functions and Graphs

3.3 Quadratic Equations and Inequalities

Reviewing Basic Concepts

3.4 Further Applications of Quadratic Functions and Models

3.5 Higher-Degree Polynomial Functions and Graphs

Reviewing Basic Concepts

3.6 Topics in the Theory of Polynomial Functions I

3.7 Topics in the Theory of Polynomial Functions II 3.8 Polynomial Equations and Inequalities; Further Applications and Models

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 4 Rational, Power, and Root Functions

4.1 Rational Functions and Graphs

4.2 More on Rational Functions and Graphs

4.3 Rational Equations, Inequalities, Models, and Applications

Reviewing Basic Concepts

4.4 Functions Defined by Powers and Roots

4.5 Equations, Inequalities, and Applications Involving Root Functions

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 5 Inverse, Exponential, and Logarithmic Functions

5.1 Inverse Functions

5.2 Exponential Functions

5.3 Logarithms and Their Properties

Reviewing Basic Concepts

5.4 Logarithmic Functions

5.5 Exponential and Logarithmic Equations and Inequalities

Reviewing Basic Concepts

5.6 Further Applications and Modeling with Exponential and Logarithmic Functions

Summary

Review Exercises

Test

Chapter 6 Analytic Geometry

6.1 Circles and Parabolas

6.2 Ellipses and Hyperbolas

Reviewing Basic Concepts

6.3 Summary of Conic Sections

6.4 Parametric Equations

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 7 Systems of Equations and Inequalities; Matrices

7.1 Systems of Equations

7.2 Solution of Linear Systems in Three Variables

7.3 Solution of Linear Systems by Row Transformations

Reviewing Basic Concepts

7.4 Matrix Properties and Operations

7.5 Determinants and Cramer’s Rule

7.6 Solution of Linear Systems by Matrix Inverses

Reviewing Basic Concepts

7.7 Systems of Inequalities and Linear Programming

7.8 Partial Fractions

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 8 Trigonometric Functions and Their Applications

8.1 Angles and Their Measures

8.2 Trigonometric Functions and Fundamental Identities

Reviewing Basic Concepts

8.3 Evaluating Trigonometric Functions

8.4 Applicationis of Right Triangles

Reviewing Basic Concepts

8.5 The Circular Functions

8.6 Graphs of the Sine and Cosine Functions

8.7 Graphs of the Other Circular Functions

8.8 Harmonic Motion

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 9 Trigonometric Identities and Equations

9.1 Trigonometric Identities

9.2 Sum and Difference Identities

Reviewing Basic Concepts

9.3 Further Identities

9.4 The Inverse Circular Functions

Reviewing Basic Concepts

9.5 Trigonometric Equations and Inequalities (I)

9.6 Trigonometric Equations and Inequalities (II)

Summary

Review Exercises

Test

Chapter 10 Applications of Trigonometry and Vectors

10.1 The Law of Sines

10.2 The Law of Cosines and Area Formulas

10.3 Vectors and Their Applications

Reviewing Basic Concepts

10.4 Trigonometric (Polar) Form of Complex Numbers

10.5 Powers and Roots of Complex Numbers

Reviewing Basic Concepts

10.6 Polar Equations and Graphs

10.7 More Parametric Equations

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 11 Further Topics in Algebra

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 The Binomial Theorem

11.5 Mathematical Induction

11.6 Counting Theory

11.7 Probability

Review Exercises

Test

Chapter R Reference: Basic Algebraic Concepts

R.1 Review of Exponents and Polynomials

R.2 Review of Factoring

R.3 Review of Rational Expressions

R.4 Review of Negative and Rational Exponents

R.5 Review of Radicals

Chapter R Test

Summary

Review Exercises

Test

Appendix Geometry Formulas

Answers to Selected Exercises

Index

Courses

Algebra and Trigonometry (Mathematics)

Previous Edition(s)

Graphical Approach to Algebra and Trigonometry, A, 4/E
Hornsby, Lial & Rockswold
©2007 | Pearson | Cloth; 1092 pp | Instock
ISBN-10: 0321356950 | ISBN-13: 9780321356956
Suggested retail price: $187.33 Net price: $140.50 (What's this?)Brief Description |
This edition has evolved to address the needs of today's student. While maintaining its unique table of contents and functions-based approach, the text now includes additional components to build skill, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions. It continues to incorporate an open design, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids to provide new and relevant opportunities for learning and teaching.
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In this section:

Online Preview
Author Bios

Author Bios

John Hornsby: When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education, or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, all three of his goals have been realized; his love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum.

John’s personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

Marge Lial has always been interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

Gary Rockswold has been teaching mathematics for 33 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate, and graduate students, and adult education classes. He is currently employed at Minnesota State University, Mankato, where he is a full professor of mathematics. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. Outside of mathematics, he enjoys spending time with his lovely wife and two children.

Websites and Online Courses

In this section:

Websites and Online Courses

MathXL -- Instant Access -- for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Website | Live
ISBN-10: 0321665910 | ISBN-13: 9780321665911
Online purchase price: $50.00More Info

MyMathLab with eBook -- Instant Access -- for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | On-line Supplement; 992 pp | Access Code Required | Live
ISBN-10: 0321664531 | ISBN-13: 9780321664532
Online purchase price: $82.00Take a Tour | More Info

MyMathLabPlus for A Grapghical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Website | Live
ISBN-10: 055867707X | ISBN-13: 9780558677077
Online purchase price: $88.00More Info

In this section:

Instructor Resources

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Student Resources

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eLearning & Assessment

Websites and Online Courses

Course & Discipline Resources

For Algebra and Trigonometry
For the Mathematics Discipline

Insider's Guide to Teaching with the Hornsby/Lial/Rockswold Precalculus Series, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Paper; 168 pp | Instock
ISBN-10: 0321664620 | ISBN-13: 9780321664624

Instructor's Solutions Manual for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Paper; 946 pp | Instock
ISBN-10: 0321664493 | ISBN-13: 9780321664495

Instructor's Testing Manual (Download only) for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321664507 | ISBN-13: 9780321664501

PowerPoint Slides (Download only) for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321664515 | ISBN-13: 9780321664518

TestGen® Computerized Test Bank for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321664523 | ISBN-13: 9780321664525

Websites and online courses

Annotated Instructor's Edition for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Cloth; 992 pp | Instock
ISBN-10: 0321655036 | ISBN-13: 9780321655035
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Graphing Calculator Manual for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Paper; 120 pp | Instock
ISBN-10: 0321664485 | ISBN-13: 9780321664488
Net price: $18.50 (What's this?)More Info

MathXL Tutorials on CD for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321664728 | ISBN-13: 9780321664723
Net price: $13.60 (What's this?)More Info

Student Solutions Manual for A Graphical Approach to Algebra and Trigonometry, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Paper; 600 pp | Instock
ISBN-10: 0321664477 | ISBN-13: 9780321664471
Net price: $27.50 (What's this?)More Info

Videos on DVD-ROM for A Graphical Approach to Algebra and Trigonometry, 5/E
Addison-Wesley
©2011 | Pearson | DVD; 504 pp | Instock
ISBN-10: 0321664868 | ISBN-13: 9780321664860
Net price: $25.00 (What's this?)More Info

For Algebra and Trigonometry

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
Suggested retail price: $4.00Net price: $3.00 (What's this?)More Info

Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Suggested retail price: $4.00Net price: $3.00 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
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Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
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Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $35.85 (What's this?)More Info

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Net price: $10.00 (What's this?)More Info

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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TestGen All-in-One 2005 Package
Addison-Wesley
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321334469 | ISBN-13: 9780321334466
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A Graphical Approach to Algebra and Trigonometry, A La Carte with MML/MSL Student Access Kit (adhoc for valuepacks), 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Kit/Package/ShrinkWrap | Instock
ISBN-10: 032169323X | ISBN-13: 9780321693235
Net price: $91.80 (What's this?)Brief Description |
Books à la Carte are unbound, three-hole-punch versions of the textbook. This lower cost option is easy to transport and comes with same access code or media that would be packaged with the bound book.

A Graphical Approach to Algebra and Trigonometry illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities.

With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Algebra and Trigonometry continues to incorporate an open design, with helpful features and careful explanations of topics.

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A Graphical Approach to Algebra and Trigonometry, Fifth Edition, (à la Carte edition) with MyMathLab/MyStatLab Student Access Kit
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Graphical Approach to Algebra and Trigonometry plus MyMathLab/MyStatLab Student Access Code Card, A, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Kit/Package/ShrinkWrap | Instock
ISBN-10: 0321708962 | ISBN-13: 9780321708960
Net price: $148.00 (What's this?)Brief Description |
This package consists of the textbook plus an access kit for MyMathLab/MyStatLab.

A Graphical Approach to Algebra and Trigonometry illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities.

With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Algebra and Trigonometry continues to incorporate an open design, with helpful features and careful explanations of topics.

MyMathLab provides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online.
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Graphical Approach to Algebra and Trigonometry, A, Books a la Carte Edition, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Unbound (Saleable); 992 pp | Instock
ISBN-10: 0321664191 | ISBN-13: 9780321664198
Net price: $84.30 (What's this?)Brief Description |

This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value–this format costs significantly less than a new textbook.

A Graphical Approach to Algebra and Trigonometry illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities.

With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Algebra and Trigonometry continues to incorporate an open design, with helpful features and careful explanations of topics.
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Graphical Approach to Algebra and Trigonometry, A, CourseSmart eTextbook, 5/E
Hornsby, Lial & Rockswold
©2011 | Pearson | Electronic Book | Available
ISBN-10: 0321664329 | ISBN-13: 9780321664327
Online purchase price: $74.99
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CourseSmart eTextbooks are a creative digital solution that offers the freedom and convenience of online, offline, and mobile access using a single platform. With a CourseSmart eTextbook, students can:
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For more information, or to subscribe to the CourseSmart eTextbook, visit www.coursesmart.com (for customers in U.S. and Canada) or www.coursesmart.co.uk (for customers in Europe, Middle East, and Africa).
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