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FOUNDATIONS: A PRELUDE TO FUNCTIONS F.1 The Distance and Midpoint Formulas F.2 Graphs of Equations; Intercepts; Symmetry F.3 Lines F.4 Circles Chapter 1 Functions and Their Graphs 1.1 Functions 1.2 The Graph of a Function 1.3 Properties of Functions 1.4 Library of Functions; Piecewise-defined Functions 1.5 Graphing Techniques: Transformations 1.6 Mathematical Models: Constructing Functions Chapter Review Chapter Test Chapter Projects Chapter 2 Linear and Quadratic Functions 2.1 Properties of Linear Functions 2.2 Building Linear Functions from Data; Direct Variation 2.3 Quadratic Functions and Their Real Zeros 2.4 Properties of Quadratic Functions 2.5 Inequalities Involving Quadratic Functions 2.6 Quadratic Models; Building Quadratic Functions From Data 2.7 Complex Zeros of a Quadratic Function 2.8 Equations and Inequalities Involving the Absolute Value Function Chapter Review Chapter Test Chapter Projects Cumulative Review Chapter 3 Polynomial and Rational Functions 3.1 Polynomial Functions and Models 3.2 Properties of Rational Functions 3.3 The Graph of a Rational Function; Inverse and Joint Variation 3.4 Polynomial and Rational Inequalities 3.5 The Real Zeros of a Polynomial Function 3.6 Complex Zeros: Fundamental Theorem of Algebra Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 4 Exponential and Logarithmic Functions 4.1 Composite Functions 4.2 One-to-One Functions; Inverse Functions 4.3 Exponential Functions 4.4 Logarithmic Functions 4.5 Properties of Logarithms 4.6 Logarithmic and Exponential Equations 4.7 Compound Interest 4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay 4.9 Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 5 Analytic Geometry 5.1 Conics 5.2 The Parabola 5.3 The Ellipse 5.4 The Hyperbola Chapter Review Chapter Test Chapter Projects Cumulative Review Chapter 6 Systems of Equations and Inequalities 6.1 Systems of Linear Equations: Substitution and Elimination 6.2 Systems of Linear Equations: Matrices 6.3 Systems of Linear Equations: Determinants 6.4 Matrix Algebra 6.5 Partial Fraction Decomposition 6.6 Systems of Nonlinear Equations 6.7 Systems of Inequalities 6.8 Linear Programming Chapter Review Chapter Test Chapter Projects Cumulative Review Chapter 7 Sequences; Induction; The Binomial Theorem 7.1 Sequences 7.2 Arithmetic Sequences 7.3 Geometric Sequences; Geometric Series 7.4 Mathematical Induction 7.5 The Binomial Theorem Chapter Review Chapter Test Chapter Projects Cumulative Review Chapter 8 Counting and Probability 8.1 Sets and Counting 8.2 Permutations and Combinations 8.3 Probability Chapter Review Chapter Test Chapter Project Cumulative Review Appendix A Review A.1 Algebra Essentials A.2 Geometry Essentials A.3 Polynomials A.4 Factoring Polynomials A.5 Synthetic Division A.6 Rational Expressions A.7 nth Roots; Rational Exponents A.8 Solving Equations Algebraically A.9 Interval Notation; Solving Inequalities A.10 Problem Solving: Applications of Linear Equations A.11 Complex Numbers Appendix B Graphing Utilities B.1 The Viewing Rectangle B.2 Graphing Equations in Two Variables B.3 Locating Intercepts and Checking for Symmetry B.4 Solving Equations Using a Graphing Utility B.5 Square Screens B.6 Graphing Inequalities in Two Variables B.7 Solving Systems of Linear Equations Answers Table of Contents
Get College Algebra: Concepts Through Functions by Michael Sullivan, III, Joliet Junior College
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