John Coburn and J.D. (John) Herdlick
College Algebra: Graphs & Models
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# College Algebra: Graphs & Models 1^{st} Edition

# College Algebra: Graphs & Models1^{st} Edition

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**Table of Contents**

By John Coburn and J.D. (John) Herdlick

Copyright: 2012

By John Coburn and J.D. (John) Herdlick

Copyright: 2012

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By John Coburn and J.D. (John) Herdlick

Copyright: 2012

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

## R.1: Algebraic Expressions and the Properties of Real Numbers

## R.2: Exponents, Scientific Notation, and a Review of Polynomials

## R.3: Solving Linear Equations and Inequalities

## R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring

## R.5: Rational Expressions and Equations

## R.6: Radicals, Rational Exponents, and Radical Equations

## 1.1: Rectangular Coordinates, Graphing Circles and Other Relations

## 1.2: Functions, Function Notation, and the Graph of a Function

## 1.3: Linear Equations and Rates of Change

## 1.4: Linear Functions, Special Forms, and More on Rates of Change

## 1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving

## 1.6: Linear Models and Real Data

## 2.1: Analyzing the Graph of a Function

## 2.2: The Toolbox Functions and Transformations

## 2.3: Absolute Value Functions, Equations, and Inequalities

## 2.4: Rational and Radical Functions; More on the Domain

## 2.5: Piecewise-Defined Functions

## 2.6: Variation: The Toolbox Functions in Action

## 3.1: Complex Numbers

## 3.2: Solving Quadratic Equations and Inequalities

## 3.3: Quadratic Functions and Applications

## 3.4: Quadratic Models; More on Rates of Change

## 3.5: The Algebra of Functions

## 3.6: Composition of Functions and the Difference Quotient

## 4.1: Synthetic Division; the Remainder and Factor Theorems

## 4.2: The Zeros of Polynomial Functions

## 4.3: Graphing Polynomial Functions

## 4.4: Graphing Rational Functions

## 4.5: Additional Insights into Rational Functions

## 5.1: One-to-One and Inverse Functions

## 5.2: Exponential Functions

## 5.3: Logarithms and Logarithmic Functions

## 5.4: Properties of Logarithms

## 5.5: Solving Exponential/Logarithmic Equations

## 5.6: Applications from Business, Finance, and Science

## 5.7: Exponential, Logarithmic, and Logistic Equation Models

## 6.1: Linear Systems in Two Variables with Applications

## 6.2: Linear Systems in Three Variables with Applications

## 6.3: Nonlinear Systems of Equations and Inequalities

## 6.4: Systems of Inequalities and Linear Programming

## 7.1: Solving Linear Systems Using Matrices and Row Operations

## 7.2: The Algebra of Matrices

## 7.3: Solving Linear Systems Using Matrix Equations

## 7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More

## 7.5: Matrix Applications and Technology Use

## 8.1: A Brief Introduction to Analytic Geometry

## 8.2: The Circle and the Ellipse

## 8.3: The Hyperbola

## 8.4: The Analytic Parabola: More on Nonlinear Systems

## 9.1: Sequences and Series

## 9.2: Arithmetic Sequences

## 9.3: Geometric Sequences

## 9.4: Mathematical Induction

## 9.5: Counting Techniques

## 9.6: Introduction to Probability

## 9.7: The Binomial Theorem

## The Language, Notation, and Numbers of Mathematics

## Geometry Review with Unit Conversions

## More on Synthetic Division

## More on Matrices

## Deriving the Equation of a Conic

## Proof Positive - A Selection of Proofs from College Algebra

## R.1: Algebraic Expressions and the Properties of Real Numbers

## R.2: Exponents, Scientific Notation, and a Review of Polynomials

## R.3: Solving Linear Equations and Inequalities

## R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring

## R.5: Rational Expressions and Equations

## R.6: Radicals, Rational Exponents, and Radical Equations

## 1.1: Rectangular Coordinates, Graphing Circles and Other Relations

## 1.2: Functions, Function Notation, and the Graph of a Function

## 1.3: Linear Equations and Rates of Change

## 1.4: Linear Functions, Special Forms, and More on Rates of Change

## 1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving

## 1.6: Linear Models and Real Data

## 2.1: Analyzing the Graph of a Function

## 2.2: The Toolbox Functions and Transformations

## 2.3: Absolute Value Functions, Equations, and Inequalities

## 2.4: Rational and Radical Functions; More on the Domain

## 2.5: Piecewise-Defined Functions

## 2.6: Variation: The Toolbox Functions in Action

## 3.1: Complex Numbers

## 3.2: Solving Quadratic Equations and Inequalities

## 3.3: Quadratic Functions and Applications

## 3.4: Quadratic Models; More on Rates of Change

## 3.5: The Algebra of Functions

## 3.6: Composition of Functions and the Difference Quotient

## 4.1: Synthetic Division; the Remainder and Factor Theorems

## 4.2: The Zeros of Polynomial Functions

## 4.3: Graphing Polynomial Functions

## 4.4: Graphing Rational Functions

## 4.5: Additional Insights into Rational Functions

## 5.1: One-to-One and Inverse Functions

## 5.2: Exponential Functions

## 5.3: Logarithms and Logarithmic Functions

## 5.4: Properties of Logarithms

## 5.5: Solving Exponential/Logarithmic Equations

## 5.6: Applications from Business, Finance, and Science

## 5.7: Exponential, Logarithmic, and Logistic Equation Models

## 6.1: Linear Systems in Two Variables with Applications

## 6.2: Linear Systems in Three Variables with Applications

## 6.3: Nonlinear Systems of Equations and Inequalities

## 6.4: Systems of Inequalities and Linear Programming

## 7.1: Solving Linear Systems Using Matrices and Row Operations

## 7.2: The Algebra of Matrices

## 7.3: Solving Linear Systems Using Matrix Equations

## 7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More

## 7.5: Matrix Applications and Technology Use

## 8.1: A Brief Introduction to Analytic Geometry

## 8.2: The Circle and the Ellipse

## 8.3: The Hyperbola

## 8.4: The Analytic Parabola: More on Nonlinear Systems

## 9.1: Sequences and Series

## 9.2: Arithmetic Sequences

## 9.3: Geometric Sequences

## 9.4: Mathematical Induction

## 9.5: Counting Techniques

## 9.6: Introduction to Probability

## 9.7: The Binomial Theorem

## The Language, Notation, and Numbers of Mathematics

## Geometry Review with Unit Conversions

## More on Synthetic Division

## More on Matrices

## Deriving the Equation of a Conic

## Proof Positive - A Selection of Proofs from College Algebra

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