College Algebra: Graphs and Models, 6th edition
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Overview
College Algebra: Graphs and Models helps you succeed via a focus on functions, visual emphasis, sidebyside algebraic and graphical solutions, and realdata applications.
Published by Pearson (September 1st 2020)  Copyright © 2021
ISBN13: 9780136880264
Subject: Precalculus, College Algebra & Trigonometry
Category: College Algebra
Table of contents
Preface
To the Student
JustinTime 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
11. Add and Subtract Polynomials
12. Multiply Polynomials
13. Special Products of Binomials
14. Factor Polynomials; The FOIL Method
15. Factor Polynomials: The acMethod
16. Special Factorizations
17. EquationSolving Principles
18. InequalitySolving 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
25. Simplify Radical 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
MidChapter 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
MidChapter 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
MidChapter 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
MidChapter 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
MidChapter 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
MidChapter 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
MidChapter 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
MidChapter 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
Answers
Additional Instructor's Answers
Index
Index of Applications
Your questions answered
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