  # College Algebra: Graphs and Models, 6th edition

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

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## Overview

Visualize. Interact. Succeed. College Algebra: Graphs and Models helps you “see the math” through its focus on visualization and technology. Its consistent approach of focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications helps you succeed in your math course. The 6th Edition enhances instruction on review topics. Integrated review provides just the help you need, when you need it. The authors also provide tools specifically created for students who may need additional practice, which can be used independently by students or by instructors in the classroom.

ISBN-13: 9780136880264

Subject: Precalculus, College Algebra & Trigonometry

Category: College Algebra

## Overview

• 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

#### Index of Applications

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