A Graphical Approach to Algebra and Trigonometry
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A Graphical Approach to Algebra and Trigonometry

A Graphical Approach to Algebra and Trigonometry

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About the 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.

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


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Product Details
  • ISBN-13: 9780321644725
  • Binding: Hardback
  • Language: English
  • Weight: 1878 gr
  • ISBN-10: 0321644727
  • Height: 254 mm
  • No of Pages: 992
  • Width: 216 mm


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