John Coburn and J.D. (John) Herdlick
College Algebra: Graphs & Models
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# College Algebra: Graphs & Models

1^{st} Edition

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

Copyright: 2012

Copyright: 2012

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In the Graphs and Models texts, the authors combine a graphical approach to problem solving with algebraic methods, students learn how to relate their mathematical knowledge to the outside world. The authors use technology to solve the more true-to life equations, to engage more applications, and to explore the more substantial questions involving graphical behavior.

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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.

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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