Graphical Approach to College Algebra

ISBN-10: 032164476X

ISBN-13: 9780321644763

Edition: 5th 2011

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Description: A Graphical Approach to College Algebra 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 College Algebra 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: $216.40
Edition: 5th
Copyright year: 2011
Publisher: Addison Wesley
Publication date: 1/8/2010
Binding: Hardcover
Pages: 768
Size: 8.50" wide x 10.75" long x 1.00" tall
Weight: 3.872
Language: English

Linear Functions, Equations, and Inequalities
Real Numbers and the Rectangular Coordinate System
Introduction to Relations and Functions
Linear Functions
Equations of Lines and Linear Models
Linear Equations and Inequalities
Applications of Linear Functions
Analysis of Graphs of Functions
Graphs of Basic Functions and Relations; Symmetry
Vertical and Horizontal Shifts of Graphs
Stretching, Shrinking, and Reflecting Graphs
Absolute Value Functions
Piecewise-Defined Functions
Operations and Composition
Polynomial Functions
Complex Numbers
Quadratic Functions and Graphs
Quadratic Equations and Inequalities
Further Applications of Quadratic Functions and Models
Higher-Degree Polynomial Functions and Graphs
Topics in the Theory of Polynomial Functions (I)
Topics in the Theory of Polynomial Functions (II)
Polynomial Equations and Inequalities; Further Applications and Models
Rational, Power, and Root Functions
Rational Functions and Graphs
More on Rational Functions and Graphs
Rational Equations, Inequalities, Models, and Applications
Functions Defined by Powers and Roots
Equations, Inequalities, and Applications Involving Root Functions
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
Exponential Functions
Logarithms and Their Properties
Logarithmic Functions
Exponential and Logarithmic Equations and Inequalities
Further Applications and Modeling with Exponential and Logarithmic Functions
Analytic Geometry
Circles and Parabolas
Ellipses and Hyperbolas
Summary of Conic Sections
Parametric Equations
Systems of Equations and Inequalities; Matrices
Systems of Equations
Solution of Linear Systems in Three Variables
Solution of Linear Systems by Row Transformations
Matrix Properties and Operations
Determinants and Cramer's Rule
Solution of Linear Systems by Matrix Inverses
Systems of Inequalities and Linear Programming
Partial Fractions
Further Topics in Algebra
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Counting Theory
The Binomial Theorem
Mathematical Induction
Probability
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
Appendix: Geometry Formulas
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