# College Algebra: Graphs and Models

3^{rd}Edition

ISBN10: 0077221281

ISBN13: 9780077221287

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.

### 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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