# College Algebra: Graphs & Models

1^{st}Edition

Copyright: 2012

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### Program Details

# College Algebra: Graphs & Models

### Chapter R: A Review of Basic Concepts and Skills

###
#### 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

#### 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

### Chapter 1: Functions and Graphs
#### 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

#### 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

### Chapter 2: Relations, More on Functions
#### 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

#### 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

### Chapter 3: Quadratic Functions and Operations on Functions
#### 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

#### 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

### Chapter 4: Polynomial and Rational Functions
#### 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

#### 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

### Chapter 5: Exponential and Logarithmic 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

#### 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

### Chapter 6: Systems of Equations and Inequalities
#### 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

#### 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

### Chapter 7: Matrices and Matrix Applications
#### 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

#### 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

### Chapter 8: Analytic Geometry and the Conic Sections
#### 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

#### 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

### Chapter 9: Additional Topics in Algebra
#### 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

#### 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

### Appendices
#### 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

#### 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

# College Algebra: Graphs & Models

### Chapter R: A Review of Basic Concepts and Skills

###
#### 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

#### 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

### Chapter 1: Functions and Graphs
#### 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

#### 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

### Chapter 2: Relations, More on Functions
#### 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

#### 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

### Chapter 3: Quadratic Functions and Operations on Functions
#### 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

#### 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

### Chapter 4: Polynomial and Rational Functions
#### 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

#### 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

### Chapter 5: Exponential and Logarithmic 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

#### 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

### Chapter 6: Systems of Equations and Inequalities
#### 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

#### 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

### Chapter 7: Matrices and Matrix Applications
#### 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

#### 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

### Chapter 8: Analytic Geometry and the Conic Sections
#### 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

#### 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

### Chapter 9: Additional Topics in Algebra
#### 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

#### 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

### Appendices
#### 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

#### 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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