# Graphical Approach to Algebra and Trigonometry

## Edition: 5th 2011

### Authors: John E. Hornsby, Margaret L. Lial, Gary K. Rockswold

List price: \$236.60
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### 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, 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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### Book details

List price: \$236.60
Edition: 5th
Publication date: 1/27/2010
Binding: Hardcover
Pages: 992
Size: 9.00" wide x 11.25" long x 1.50" tall
Weight: 4.884
Language: English

 Linear Functions, Equations, and Inequalities Real Numbers and the Rectangular Coordinate System Introduction to Relations and Functions Reviewing Basic Concepts Linear Functions Equations of Lines and Linear Models Reviewing Basic Concepts Linear Equations and Inequalities Applications of Linear Functions Reviewing Basic Concepts Summary Review Exercises Test Analysis of Graphs of Functions Graphs of Basic Functions and Relations; Symmetry Vertical and Horizontal Shifts of Graphs Stretching, Shrinking, and Reflecting Graphs Reviewing Basic Concepts Absolute Value Functions Piecewise-Defined Functions Operations and Composition Reviewing Basic Concepts Summary Review Exercises Test Polynomial Functions Complex Numbers Quadratic Functions and Graphs Quadratic Equations and Inequalities Reviewing Basic Concepts Further Applications of Quadratic Functions and Models Higher-Degree Polynomial Functions and Graphs Reviewing Basic Concepts Topics in the Theory of Polynomial Functions I 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 Rational, Power, and Root Functions Rational Functions and Graphs More on Rational Functions and Graphs Rational Equations, Inequalities, Models, and Applications Reviewing Basic Concepts Functions Defined by Powers and Roots Equations, Inequalities, and Applications Involving Root Functions Reviewing Basic Concepts Summary Review Exercises Test Inverse, Exponential, and Logarithmic Functions Inverse Functions Exponential Functions Logarithms and Their Properties Reviewing Basic Concepts Logarithmic Functions Exponential and Logarithmic Equations and Inequalities Reviewing Basic Concepts Further Applications and Modeling with Exponential and Logarithmic Functions Summary Review Exercises Test Analytic Geometry Circles and Parabolas Ellipses and Hyperbolas Reviewing Basic Concepts Summary of Conic Sections Parametric Equations Reviewing Basic Concepts Summary Review Exercises Test Systems of Equations and Inequalities; Matrices Systems of Equations Solution of Linear Systems in Three Variables Solution of Linear Systems by Row Transformations Reviewing Basic Concepts Matrix Properties and Operations Determinants and Cramer's Rule Solution of Linear Systems by Matrix Inverses Reviewing Basic Concepts Systems of Inequalities and Linear Programming Partial Fractions Reviewing Basic Concepts Summary Review Exercises Test Trigonometric Functions and Their Applications Angles and Their Measures Trigonometric Functions and Fundamental Identities Reviewing Basic Concepts Evaluating Trigonometric Functions Applicationis of Right Triangles Reviewing Basic Concepts The Circular Functions Graphs of the Sine and Cosine Functions Graphs of the Other Circular Functions Harmonic Motion Reviewing Basic Concepts Summary Review Exercises Test Trigonometric Identities and Equations Trigonometric Identities Sum and Difference Identities Reviewing Basic Concepts Further Identities The Inverse Circular Functions Reviewing Basic Concepts Trigonometric Equations and Inequalities (I) Trigonometric Equations and Inequalities (II) Summary Review Exercises Test Applications of Trigonometry and Vectors The Law of Sines The Law of Cosines and Area Formulas Vectors and Their Applications Reviewing Basic Concepts Trigonometric (Polar) Form of Complex Numbers Powers and Roots of Complex Numbers Reviewing Basic Concepts Polar Equations and Graphs More Parametric Equations Reviewing Basic Concepts Summary Review Exercises Test Further Topics in Algebra Sequences and Series Arithmetic Sequences and Series Geometric Sequences and Series The Binomial Theorem Mathematical Induction Counting Theory Probability Review Exercises Test Chapter R Reference: Basic Algebraic Concepts Review of Exponents and Polynomials Review of Factoring Review of Rational Expressions Review of Negative and Rational Exponents Review of Radicals Chapter R Test Summary Review Exercises Test Appendix Geometry Formulas Answers to Selected Exercises Index
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