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by Marvin Bittinger, David Ellenbogen and Barbara Johnson

Cover type: HardbackEdition: 3RD 08

Copyright: 2008

Publisher: Addison-Wesley Longman, Inc.

Published: 2008

International: No

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The Third Edition of the Bittinger Graphs and Models series helps students succeed in algebra by emphasizing a visual understanding of concepts. This latest edition incorporates a new Visualizing the Graph feature that helps students make intuitive connections between graphs and functions without the aid of a graphing calculator.

**1. Basics of Algebra and Graphing**

1.1 Some Basics of Algebra

1.2 Operations with Real Numbers

1.3 Equivalent Algebraic Expressions

1.4 Exponential and Scientific Notation

1.5 Graphs

1.6 Solving Equations and Formulas

1.7 Introduction to Problem Solving and Models

**2. Functions, Linear Equations, and Models**

2.1 Functions

2.2 Linear Functions: Slope, Graphs, and Models

2.3 Another Look at Linear Graphs

2.4 Introduction to Curve Fitting: Point-Slope Form

2.5 Domains and the Algebra of Functions

**3. Systems of Linear Equations and Problem Solving**

3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution or Elimination

3.3 Solving Applications: Systems of Two Equations

3.4 Systems of Equations in Three Variables

3.5 Solving Applications: Systems of Three Equations

3.6 Elimination Using Matrices

3.7 Determinants and Cramer's Rule

3.8 Business and Economics Applications

**4. Inequalities and Problem Solving**

4.1 Inequalities and Applications

4.2 Solving Equations and Inequalities by Graphing

4.3 Intersections, Unions, and Compound Inequalities

4.4 Absolute-Value Equations and Inequalities

4.5 Inequalities in Two Variables

**5. Polynomials and Polynomials Functions**

5.1 Introduction to Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Polynomial Equations and Factoring

5.4 Equations Containing Trinomials of the Type x2 + bx + c

5.5 Equations Containing Trinomials of the Type ax2 + bx + c

5.6 Equations Containing Perfect-Square Trinomials and Differences of Squares

5.7 Equations Containing Sums or Differences of Cubes

5.8 Applications of Polynomial Equations

**6. Rational Expressions, Equations, and Functions**

6.1 Rational Expressions and Functions: Multiplying and Dividing

6.2 Rational Expressions and Functions: Adding and Subtracting

6.3 Complex Rational Expressions

6.4 Rational Equations

6.5 Solving Applications Using Rational Equations

6.6 Division of Polynomials

6.7 Synthetic Division

6.8 Formulas, Applications, and Variation

**7. Exponents and Radical Functions**

7.1 Radical Expressions, Functions, and Models

7.2 Rational Numbers as Exponents

7.3 Multiplying Radical Expressions

7.4 Dividing Radical Expressions

7.5 Expressions Containing Several Radical Terms

7.6 Solving Radical Equations

7.7 Geometric Applications

7.8 The Complex Numbers

**8. Quadratic Functions and Equations**

8.1 Quadratic Equations

8.2 The Quadratic Formula

8.3 Applications Involving Quadratic Equations

8.4 Studying Solutions of Quadratic Equations

8.5 Equations Reducible to Quadratic

8.6 Quadratic Functions and Their Graphs

8.7 More About Graphing Quadratic Functions

8.8 Problem Solving and Quadratic Functions

8.9 Polynomial and Rational Inequalities

**9. Exponential and Logarithmic Functions**

9.1 Composite and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithmic Functions

9.5 Natural Logarithms and Changing Bases

9.6 Solving Exponential and Logarithmic Equations

9.7 Applications of Exponential and Logarithmic Functions

**10. Conic Sections**

10.1 Conic Sections: Parabolas and Circles

10.2 Conic Sections: Ellipses

10.3 Conic Sections: Hyperbolas

10.4 Nonlinear Systems of Equations

**Chapter 11 Sequences, Series, and the Binomial Theorem**

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 The Binomial Theorem

Appendix Unit Conversion and Dimensional Analysis

Answers

Photo Credits

Index

Index of Applications

Index of Calculator References

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Summary

The Third Edition of the Bittinger Graphs and Models series helps students succeed in algebra by emphasizing a visual understanding of concepts. This latest edition incorporates a new Visualizing the Graph feature that helps students make intuitive connections between graphs and functions without the aid of a graphing calculator.

Table of Contents

**1. Basics of Algebra and Graphing**

1.1 Some Basics of Algebra

1.2 Operations with Real Numbers

1.3 Equivalent Algebraic Expressions

1.4 Exponential and Scientific Notation

1.5 Graphs

1.6 Solving Equations and Formulas

1.7 Introduction to Problem Solving and Models

**2. Functions, Linear Equations, and Models**

2.1 Functions

2.2 Linear Functions: Slope, Graphs, and Models

2.3 Another Look at Linear Graphs

2.4 Introduction to Curve Fitting: Point-Slope Form

2.5 Domains and the Algebra of Functions

**3. Systems of Linear Equations and Problem Solving**

3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution or Elimination

3.3 Solving Applications: Systems of Two Equations

3.4 Systems of Equations in Three Variables

3.5 Solving Applications: Systems of Three Equations

3.6 Elimination Using Matrices

3.7 Determinants and Cramer's Rule

3.8 Business and Economics Applications

**4. Inequalities and Problem Solving**

4.1 Inequalities and Applications

4.2 Solving Equations and Inequalities by Graphing

4.3 Intersections, Unions, and Compound Inequalities

4.4 Absolute-Value Equations and Inequalities

4.5 Inequalities in Two Variables

**5. Polynomials and Polynomials Functions**

5.1 Introduction to Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Polynomial Equations and Factoring

5.4 Equations Containing Trinomials of the Type x2 + bx + c

5.5 Equations Containing Trinomials of the Type ax2 + bx + c

5.6 Equations Containing Perfect-Square Trinomials and Differences of Squares

5.7 Equations Containing Sums or Differences of Cubes

5.8 Applications of Polynomial Equations

**6. Rational Expressions, Equations, and Functions**

6.1 Rational Expressions and Functions: Multiplying and Dividing

6.2 Rational Expressions and Functions: Adding and Subtracting

6.3 Complex Rational Expressions

6.4 Rational Equations

6.5 Solving Applications Using Rational Equations

6.6 Division of Polynomials

6.7 Synthetic Division

6.8 Formulas, Applications, and Variation

**7. Exponents and Radical Functions**

7.1 Radical Expressions, Functions, and Models

7.2 Rational Numbers as Exponents

7.3 Multiplying Radical Expressions

7.4 Dividing Radical Expressions

7.5 Expressions Containing Several Radical Terms

7.6 Solving Radical Equations

7.7 Geometric Applications

7.8 The Complex Numbers

**8. Quadratic Functions and Equations**

8.1 Quadratic Equations

8.2 The Quadratic Formula

8.3 Applications Involving Quadratic Equations

8.4 Studying Solutions of Quadratic Equations

8.5 Equations Reducible to Quadratic

8.6 Quadratic Functions and Their Graphs

8.7 More About Graphing Quadratic Functions

8.8 Problem Solving and Quadratic Functions

8.9 Polynomial and Rational Inequalities

**9. Exponential and Logarithmic Functions**

9.1 Composite and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithmic Functions

9.5 Natural Logarithms and Changing Bases

9.6 Solving Exponential and Logarithmic Equations

9.7 Applications of Exponential and Logarithmic Functions

**10. Conic Sections**

10.1 Conic Sections: Parabolas and Circles

10.2 Conic Sections: Ellipses

10.3 Conic Sections: Hyperbolas

10.4 Nonlinear Systems of Equations

**Chapter 11 Sequences, Series, and the Binomial Theorem**

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 The Binomial Theorem

Appendix Unit Conversion and Dimensional Analysis

Answers

Photo Credits

Index

Index of Applications

Index of Calculator References

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2008

International: No

Published: 2008

International: No

**1. Basics of Algebra and Graphing**

1.1 Some Basics of Algebra

1.2 Operations with Real Numbers

1.3 Equivalent Algebraic Expressions

1.4 Exponential and Scientific Notation

1.5 Graphs

1.6 Solving Equations and Formulas

1.7 Introduction to Problem Solving and Models

**2. Functions, Linear Equations, and Models**

2.1 Functions

2.2 Linear Functions: Slope, Graphs, and Models

2.3 Another Look at Linear Graphs

2.4 Introduction to Curve Fitting: Point-Slope Form

2.5 Domains and the Algebra of Functions

**3. Systems of Linear Equations and Problem Solving**

3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution or Elimination

3.3 Solving Applications: Systems of Two Equations

3.4 Systems of Equations in Three Variables

3.5 Solving Applications: Systems of Three Equations

3.6 Elimination Using Matrices

3.7 Determinants and Cramer's Rule

3.8 Business and Economics Applications

**4. Inequalities and Problem Solving**

4.1 Inequalities and Applications

4.2 Solving Equations and Inequalities by Graphing

4.3 Intersections, Unions, and Compound Inequalities

4.4 Absolute-Value Equations and Inequalities

4.5 Inequalities in Two Variables

**5. Polynomials and Polynomials Functions**

5.1 Introduction to Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Polynomial Equations and Factoring

5.4 Equations Containing Trinomials of the Type x2 + bx + c

5.5 Equations Containing Trinomials of the Type ax2 + bx + c

5.6 Equations Containing Perfect-Square Trinomials and Differences of Squares

5.7 Equations Containing Sums or Differences of Cubes

5.8 Applications of Polynomial Equations

**6. Rational Expressions, Equations, and Functions**

6.1 Rational Expressions and Functions: Multiplying and Dividing

6.2 Rational Expressions and Functions: Adding and Subtracting

6.3 Complex Rational Expressions

6.4 Rational Equations

6.5 Solving Applications Using Rational Equations

6.6 Division of Polynomials

6.7 Synthetic Division

6.8 Formulas, Applications, and Variation

**7. Exponents and Radical Functions**

7.1 Radical Expressions, Functions, and Models

7.2 Rational Numbers as Exponents

7.3 Multiplying Radical Expressions

7.4 Dividing Radical Expressions

7.5 Expressions Containing Several Radical Terms

7.6 Solving Radical Equations

7.7 Geometric Applications

7.8 The Complex Numbers

**8. Quadratic Functions and Equations**

8.1 Quadratic Equations

8.2 The Quadratic Formula

8.3 Applications Involving Quadratic Equations

8.4 Studying Solutions of Quadratic Equations

8.5 Equations Reducible to Quadratic

8.6 Quadratic Functions and Their Graphs

8.7 More About Graphing Quadratic Functions

8.8 Problem Solving and Quadratic Functions

8.9 Polynomial and Rational Inequalities

**9. Exponential and Logarithmic Functions**

9.1 Composite and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithmic Functions

9.5 Natural Logarithms and Changing Bases

9.6 Solving Exponential and Logarithmic Equations

9.7 Applications of Exponential and Logarithmic Functions

**10. Conic Sections**

10.1 Conic Sections: Parabolas and Circles

10.2 Conic Sections: Ellipses

10.3 Conic Sections: Hyperbolas

10.4 Nonlinear Systems of Equations

**Chapter 11 Sequences, Series, and the Binomial Theorem**

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 The Binomial Theorem

Appendix Unit Conversion and Dimensional Analysis

Answers

Photo Credits

Index

Index of Applications

Index of Calculator References