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Graphical Approach to Algebra and Trigonometry

ISBN-10: 0321644727
ISBN-13: 9780321644725
Edition: 5th 2011
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  More...

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Book details

List price: $236.60
Edition: 5th
Copyright year: 2011
Publisher: Addison Wesley
Publication date: 1/27/2010
Binding: Hardcover
Pages: 992
Size: 9.00" wide x 11.25" long x 1.50" tall
Weight: 5.104
Language: English

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.

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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