# College Algebra: Graphs and Models

3^{rd}Edition

Copyright: 2009

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ISBN10: 0077221281 | ISBN13: 9780077221287

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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.

### Program Details

### CHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS

#### 1-1 Using Graphing Utilities

#### 1-2 Functions

#### 1-3 Functions: Graphs and Properties

#### 1-4 Functions: Graphs and Transformations

#### 1-5 Operations on Functions; Composition

#### 1-6 Inverse Functions

#### Chapter 1 Review

#### Chapter 1 Group Activity: Mathematical Modeling–Choosing a Long Distance Calling Plan

### CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS

#### 2-1 Linear Functions

#### 2-2 Linear Equations and Models

#### 2-3 Quadratic Functions

#### 2-4 Complex Numbers

#### 2-5 Quadratic Equations and Models

#### 2-6 Additional Equation Solving Techniques

#### 2-7 Solving Inequalities

#### Chapter 2 Review

#### Chapter 2 Group Activity: Mathematical Modeling in Population Studies

#### Cumulative Review Exercise for Chapters 1 and 2

### CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS

#### 3-1 Polynomial Functions And Models

#### 3-2 Polynomial Division

#### 3-3 Real Zeros and Polynomial Inequalities

#### 3-4 Complex Zeros and Rational Zeros of Polynomials

#### 3-5 Rational Functions and Inequalities

#### 3-6 Variation and Modeling

#### Chapter 3 Review

#### Chapter 3 Group Activity: Interpolating Polynomials

### CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS

#### 4-1 Exponential Functions

#### 4-2 Exponential Models

#### 4-3 Logarithmic Functions

#### 4-4 Logarithmic Models

#### 4-5 Exponential and Logarithmic Equations

#### Chapter 4 Review

#### Chapter 4 Group Activity: Comparing Regression Models

#### Cumulative Review Exercise for Chapters 3 and 4

### CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES

#### 5-1 Systems of Linear Equations in Two Variables

#### 5-2 Systems of Linear Equations in Three Variables

#### 5-3 Systems of Linear Inequalities

#### 5-4 Linear Programming

#### Chapter 5 Review

#### Chapter 5 Group Activity: Modeling with Systems of Equations

### CHAPTER 6 MATRICES AND DETERMINANTS

#### 6-1 Matrix Solutions to Linear Systems

#### 6-2 Matrix Operations

#### 6-3 Inverse of a Square Matrix

#### 6-4 Matrix Equations and Systems of Linear Equations

#### 6-5 Determinants

#### 6-6 Properties of Determinants

#### 6-7 Determinants and Cramer's Rule

#### Chapter 6 Review

#### Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profit

#### Cumulative Review Exercise for Chapters 5 and 6

### CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY

#### 7-1 Sequences and Series

#### 7-2 Mathematical Induction

#### 7-3 Arithmetic and Geometric Sequences

#### 7-4 Multiplication Principle, Permutations, and Combinations

#### 7-5 Sample Spaces and Probability

#### 7-6 Binomial Formula

#### Chapter 7 Review

#### Chapter 7 Group Activity: Sequences Specified by Recursion Formulas

### 8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY

#### 8-1 Conic Sections; Parabola

#### 8-2 Ellipse

#### 8-3 Hyperbola

#### 8-4 Systems of Nonlinear Equations

#### Chapter 8 Review

#### Chapter 8 Group Activity: Focal Chords

#### Cumulative Review Exercise for Chapters 7 and 8

### Appendix A BASIC ALGEBRA REVIEW

#### A-1 Algebra and Real Numbers

#### A-2 Exponents

#### A-3 Radicals

#### A-4 Polynomials: Basic Operations

#### A-5 Polynomials: Factoring

#### A-6 Rational Expressions: Basic Operations

#### Appendix A Review

#### Appendix A Group Activity: Rational Number Representations

### Appendix B REVIEW OF EQUATIONS AND GRAPHING

#### B-1 Linear Equations and Inequalities

#### B-2 Cartesian Coordinate System

#### B-3 Basic Formulas in Analytic Geometry

### Appendix C SPECIAL TOPICS

#### C-1 Significant Digits

#### C-2 Partial Fractions

#### C-3 Descartes' Rule of Signs

#### C-4 Parametric Equations

### Appendix D GEOMETRIC FORMULAS

### CHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS

#### 1-1 Using Graphing Utilities

#### 1-2 Functions

#### 1-3 Functions: Graphs and Properties

#### 1-4 Functions: Graphs and Transformations

#### 1-5 Operations on Functions; Composition

#### 1-6 Inverse Functions

#### Chapter 1 Review

#### Chapter 1 Group Activity: Mathematical Modeling–Choosing a Long Distance Calling Plan

### CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS

#### 2-1 Linear Functions

#### 2-2 Linear Equations and Models

#### 2-3 Quadratic Functions

#### 2-4 Complex Numbers

#### 2-5 Quadratic Equations and Models

#### 2-6 Additional Equation Solving Techniques

#### 2-7 Solving Inequalities

#### Chapter 2 Review

#### Chapter 2 Group Activity: Mathematical Modeling in Population Studies

#### Cumulative Review Exercise for Chapters 1 and 2

### CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS

#### 3-1 Polynomial Functions And Models

#### 3-2 Polynomial Division

#### 3-3 Real Zeros and Polynomial Inequalities

#### 3-4 Complex Zeros and Rational Zeros of Polynomials

#### 3-5 Rational Functions and Inequalities

#### 3-6 Variation and Modeling

#### Chapter 3 Review

#### Chapter 3 Group Activity: Interpolating Polynomials

### CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS

#### 4-1 Exponential Functions

#### 4-2 Exponential Models

#### 4-3 Logarithmic Functions

#### 4-4 Logarithmic Models

#### 4-5 Exponential and Logarithmic Equations

#### Chapter 4 Review

#### Chapter 4 Group Activity: Comparing Regression Models

#### Cumulative Review Exercise for Chapters 3 and 4

### CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES

#### 5-1 Systems of Linear Equations in Two Variables

#### 5-2 Systems of Linear Equations in Three Variables

#### 5-3 Systems of Linear Inequalities

#### 5-4 Linear Programming

#### Chapter 5 Review

#### Chapter 5 Group Activity: Modeling with Systems of Equations

### CHAPTER 6 MATRICES AND DETERMINANTS

#### 6-1 Matrix Solutions to Linear Systems

#### 6-2 Matrix Operations

#### 6-3 Inverse of a Square Matrix

#### 6-4 Matrix Equations and Systems of Linear Equations

#### 6-5 Determinants

#### 6-6 Properties of Determinants

#### 6-7 Determinants and Cramer's Rule

#### Chapter 6 Review

#### Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profit

#### Cumulative Review Exercise for Chapters 5 and 6

### CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY

#### 7-1 Sequences and Series

#### 7-2 Mathematical Induction

#### 7-3 Arithmetic and Geometric Sequences

#### 7-4 Multiplication Principle, Permutations, and Combinations

#### 7-5 Sample Spaces and Probability

#### 7-6 Binomial Formula

#### Chapter 7 Review

#### Chapter 7 Group Activity: Sequences Specified by Recursion Formulas

### 8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY

#### 8-1 Conic Sections; Parabola

#### 8-2 Ellipse

#### 8-3 Hyperbola

#### 8-4 Systems of Nonlinear Equations

#### Chapter 8 Review

#### Chapter 8 Group Activity: Focal Chords

#### Cumulative Review Exercise for Chapters 7 and 8

### Appendix A BASIC ALGEBRA REVIEW

#### A-1 Algebra and Real Numbers

#### A-2 Exponents

#### A-3 Radicals

#### A-4 Polynomials: Basic Operations

#### A-5 Polynomials: Factoring

#### A-6 Rational Expressions: Basic Operations

#### Appendix A Review

#### Appendix A Group Activity: Rational Number Representations

### Appendix B REVIEW OF EQUATIONS AND GRAPHING

#### B-1 Linear Equations and Inequalities

#### B-2 Cartesian Coordinate System

#### B-3 Basic Formulas in Analytic Geometry

### Appendix C SPECIAL TOPICS

#### C-1 Significant Digits

#### C-2 Partial Fractions

#### C-3 Descartes' Rule of Signs

#### C-4 Parametric Equations

### Appendix D GEOMETRIC FORMULAS

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