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
Brief Table of Contents
 Preface
 To the Student
 JustinTime Review
 Real Numbers
 Properties of Real Numbers
 Order on the Number Line
 Absolute Value
 Operations with Real Numbers
 Interval Notation
 Integers as Exponents
 Scientific Notation
 Order of Operations
 Introduction to Polynomials
 Add and Subtract Polynomials
 Multiply Polynomials
 Special Products of Binomials
 Factor Polynomials; The FOIL Method
 Factor Polynomials: The acMethod
 Special Factorizations
 EquationSolving Principles
 InequalitySolving Principles
 The Principle of Zero Products
 The Principle of Square Roots
 Simplify Rational Expressions
 Multiply and Divide Rational Expressions
 Add and Subtract Rational Expressions
 Simplify Complex Rational Expressions
 Simplify Radical Expressions
 Rationalize Denominators
 Rational Exponents
 The Pythagorean Theorem
Table of Contents
 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
 1.1. Introduction to Graphing
 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
 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
 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
 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
 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
 6.1. Systems of Equations in Two Variables
 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
 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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