  # College Algebra: Graphs and Models, 6th edition

• Marvin L. Bittinger,
• Judith A. Beecher,
• David J. Ellenbogen,
• Judith A. Penna

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## Overview

College Algebra: Graphs and Models helps you succeed via a focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications.

ISBN-13: 9780136880264

Subject: Precalculus, College Algebra & Trigonometry

Category: College Algebra

Preface
To the Student
Just-in-Time Review

1. Real Numbers
2. Properties of Real Numbers
3. Order on the Number Line
4. Absolute Value
5. Operations with Real Numbers
6. Interval Notation
7. Integers as Exponents
8. Scientific Notation
9. Order of Operations
10. Introduction to Polynomials
12. Multiply Polynomials
13. Special Products of Binomials
14. Factor Polynomials; The FOIL Method
15. Factor Polynomials: The ac-Method
16. Special Factorizations
17. Equation-Solving Principles
18. Inequality-Solving Principles
19. The Principle of Zero Products
20. The Principle of Square Roots
21. Simplify Rational Expressions
22. Multiply and Divide Rational Expressions
23. Add and Subtract Rational Expressions
24. Simplify Complex Rational Expressions
26. Rationalize Denominators
27. Rational Exponents
28. The Pythagorean Theorem

1. Graphs, Functions, and Models
1.1. Introduction to Graphing
Visualizing the Graph
1.2. Functions and Graphs
1.3. Linear Functions, Slope, and Applications
Visualizing the Graph
Mid-Chapter Mixed Review
1.4. Equations of Lines and Modeling
1.5. Linear Equations, Functions, Zeros, and Applications
1.6. Solving Linear Inequalities
Summary and Review
Review Exercises
Chapter Test

2. More on Functions
2.1. Increasing, Decreasing, and Piecewise Functions; Applications
2.2. The Algebra of Functions
2.3. The Composition of Functions
Mid-Chapter Mixed Review
2.4. Symmetry
2.5. Transformations
Visualizing the Graph
2.6. Variation and Applications
Summary and Review
Review Exercises
Chapter Test

3. Quadratic Functions and Equations; Inequalities
3.1. The Complex Numbers
3.2. Quadratic Equations, Functions, Zeros, and Models
3.3. Analyzing Graphs of Quadratic Functions
Visualizing the Graph
Mid-Chapter Mixed Review
3.4. Solving Rational Equations and Radical Equations
3.5. Solving Equations and Inequalities with Absolute Value
Summary and Review
Review Exercises
Chapter Test

4. Polynomial Functions and Rational Functions
4.1. Polynomial Functions and Modeling
4.2. Graphing Polynomial Functions
Visualizing the Graph
4.3. Polynomial Division; The Remainder Theorem and the Factor Theorem
Mid-Chapter Mixed Review
4.4. Theorems about Zeros of Polynomial Functions
4.5. Rational Functions
Visualizing the Graph
4.6. Polynomial Inequalities and Rational Inequalities
Study Guide
Review Exercises
Chapter Test

5. Exponential Functions and Logarithmic Functions
5.1. Inverse Functions
5.2. Exponential Functions and Graphs
5.3. Logarithmic Functions and Graphs
Visualizing the Graph
Mid-Chapter Mixed Review
5.4. Properties of Logarithmic Functions
5.5. Solving Exponential Equations and Logarithmic Equations
5.6. Applications and Models: Growth and Decay; Compound Interest 364
Study Guide
Review Exercises
Chapter Test

6. Systems of Equations and Matrices
6.1. Systems of Equations in Two Variables
Visualizing the Graph
6.2. Systems of Equations in Three Variables
6.3. Matrices and Systems of Equations
6.4. Matrix Operations
Mid-Chapter Mixed Review
6.5. Inverses of Matrices
6.6. Determinants and Cramer's Rule
6.7. Systems of Inequalities and Linear Programming
6.8. Partial Fractions
Study Guide
Review Exercises
Chapter Test

7. Conic Sections
7.1. The Parabola
7.2. The Circle and the Ellipse
Mid-Chapter Mixed Review
7.3. The Hyperbola
7.4. Nonlinear Systems of Equations and Inequalities
Visualizing the Graph
Study Guide
Review Exercises
Chapter Test

8. Sequences, Series, and Combinatorics
8.1. Sequences and Series
8.2. Arithmetic Sequences and Series
8.3. Geometric Sequences and Series
Visualizing the Graph
8.4. Mathematical Induction
Mid-Chapter Mixed Review
8.5. Combinatorics: Permutations
8.6. Combinatorics: Combinations
8.7. The Binomial Theorem
8.8. Probability
Study Guide
Review Exercises
Chapter Test

Photo Credits
Index
Index of Applications

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