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Table of Contents

Chapter 1: INTRODUCTION TO FUNCTIONS AND GRAPHS   

1.1 Numbers, Data, and Problem Solving

1.2 Visualization of Data

1.3 Functions and Their Representations

1.4 Types of Functions and Their Rates of Change

 

Chapter 2: LINEAR FUNCTIONS AND EQUATIONS   

2.1 Linear Functions and Models

2.2 Equations of Lines   

2.3 Linear Equations

         2.4 Linear Inequalities

2.5 Piecewise-Defined Functions

 

Chapter 3: QUADRATIC FUNCTIONS AND EQUATIONS   

3.1 Quadratic Functions and Models   

3.2 Quadratic Equations and Problem Solving   

3.3 Quadratic Inequalities   

3.4 Transformations of Graphs   

 

Chapter 4: NONLINEAR FUNCTIONS AND EQUATIONS   

4.1 Nonlinear Functions and Their Graphs   

4.2 Polynomial Functions and Models   

4.3 Real Zeros of Polynomial Functions   

4.4 The Fundamental Theorem of Algebra   

4.5 Rational Functions and Models   

4.6 Polynomial and Rational Inequalities   

4.7 Power Functions and Radical Equations   

 

Chapter 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS   

5.1 Combining Functions   

5.2 Inverse Functions and Their Representations   

5.3 Exponential Functions and Models   

5.4 Logarithmic Functions and Models   

5.5 Properties of Logarithms   

5.6 Exponential and Logarithmic Equations   

5.7 Constructing Nonlinear Models   

  

Chapter 6: SYSTEMS OF EQUATIONS AND INEQUALITIES   

6.1 Functions and Equations in Two Variables   

6.2 Systems of Equations and Inequalities in Two Variables   

6.3 Systems of Linear Equations in Three Variables   

6.4 Solutions to Linear Systems Using Matrices   

6.5 Properties and Applications of Matrices   

6.6 Inverses of Matrices   

6.7 Determinants

 

Reference: Basic Concepts from Algebra and Geometry

R.1 Formulas from Geometry

R.2 Circles

R.3 Integer Exponents

R.4 Polynomial Expressions

R.5 Factoring Polynomials

R.6 Rational Expressions

R.7 Radical Notation and Rational Exponents

R.8 Radical Expressions

  

 

Get Essentials of College Algebra with Modeling and Visualization, 3rd Edition by Gary K. Rockswold, Minnesota State University, Mankato

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