Intermediate Algebra: Functions and Graphs (with CD-ROM, BCA/iLrn? Tutorial, and InfoTrac) / Edition 1by Katherine Yoshiwara, Bruce Yoshiwara
Pub. Date: 04/07/2003
Publisher: Cengage Learning
Popular with and respected by instructors and students interested in a modeling approach, graphing, or graphing calculators, this book incorporates the benefits of technology and the philosophy of the reform movement into intermediate algebra. In keeping with the NCTM and AMATYC standards, the authors introduce the techniques of algebra in the context of simple
Popular with and respected by instructors and students interested in a modeling approach, graphing, or graphing calculators, this book incorporates the benefits of technology and the philosophy of the reform movement into intermediate algebra. In keeping with the NCTM and AMATYC standards, the authors introduce the techniques of algebra in the context of simple applications. Early and consistent emphasis on functions and graphing helps to develop mathematical models, and graphing calculators are incorporated wherever appropriate.
Table of Contents
1. LINEAR MODELS. Some Examples of Linear Models. Using A Graphing Calculator. Slope. Equations of Lines. Lines of Best Fit. Additional Properties of Lines. 2. APPLICATIONS OF LINEAR MODELS. Systems of Linear Equations in Two Variables. Solving Systems by Algebraic Methods. Systems of Linear Equations in Three Variables. Solving Linear Systems Using Matrices. Linear Inequalities in Two Variables. 3. QUADRATIC MODELS. Extraction of Roots. Some Examples of Quadratic Models. Solving Quadratic Equations by Factoring. Graphing Parabolas; Special Cases. Completing the Square. Quadratic Formula. 4. APPLICATIONS OF QUADRATIC MODELS. Graphing Parabolas; the General Case. Curve Fitting. Problem Solving. Quadratic Inequalities. Solving Quadratic Inequalities Algebraically. 5. FUNCTIONS AND THEIR GRAPHS. Definitions and Notation. Graphs of Functions. Some Basic Graphs. Variation. Functions as Mathematical Models. 6. POWERS AND ROOTS. Integer Exponents. Roots and Radicals. Rational Exponents. The Distance and Midpoint Formulas. Working with Radicals. Radical Equations. 7. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Growth and Decay. Exponential Functions. Logarithms. Logarithmic Functions. Properties of Logarithms. The Natural Base. 8. POLYNOMIAL AND RATIONAL FUNCTION. Polynomial Functions. Rational Functions. Operations on Algebraic Fractions. More Operations on Algebraic Fractions. Equations that Include Algebraic Fractions. 9. SEQUENCES AND SERIES. Sequences. Arithmetic and Geometric Sequences. Series. 10. CONIC SECTIONS. Conic Sections. Translated Conics. Systems of Quadratic Equations. Appendix A: Review Topics. Appendix B: The Number System/Answers to Odd-Numbered Problems. Index.
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