ISBN13: 978-0321448897

ISBN10: 0321448898

Cover type:

Edition/Copyright: 3RD 08

Publisher: Addison-Wesley Longman, Inc.

Published: 2008

International: No

ISBN10: 0321448898

Cover type:

Edition/Copyright: 3RD 08

Publisher: Addison-Wesley Longman, Inc.

Published: 2008

International: No

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Today's algebra students want to know the why behind what they are learning and it is this that motivates them to succeed in the course. By focusing on algebra in a real-world context, Gary Rockswold gracefully and succinctly answers this need. As many topics taught in today's college algebra course aren't as crucial to students as they once were, Gary has developed this streamlined text, covering linear, quadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, to get to the heart of what students need from this course. By answering the why and streamlining the how, Rockswold has created a text to serve today's students and help them to truly succeed.

**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

ISBN10: 0321448898

Cover type:

Edition/Copyright: 3RD 08

Publisher: Addison-Wesley Longman, Inc.

Published: 2008

International: No

Today's algebra students want to know the why behind what they are learning and it is this that motivates them to succeed in the course. By focusing on algebra in a real-world context, Gary Rockswold gracefully and succinctly answers this need. As many topics taught in today's college algebra course aren't as crucial to students as they once were, Gary has developed this streamlined text, covering linear, quadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, to get to the heart of what students need from this course. By answering the why and streamlining the how, Rockswold has created a text to serve today's students and help them to truly succeed.

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

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