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Table of Contents
Preface
To the Student
1. Functions, Graphs, and Models; Linear Functions
Algebra Toolbox
1-1 Functions and Models
1-2 Graphs of Functions
1-3 Linear Functions
1-4 Equations of Lines
Summary
Key Concepts and Formulas
Chapter 1 Skills Check
Chapter 1 Review
Group Activities/Extended Applications
2. Linear Models, Equations, and Inequalities
Algebra Toolbox
2-1 Algebraic and Graphical Solution of Linear Equations
2-2 Fitting Lines to Data Points: Modeling Linear Functions
2-3 Systems of Linear Equations in Two Variables
2-4 Solutions of Linear Inequalities
Summary
Key Concepts and Formulas
Chapter 2 Skills Check
Chapter 2 Review
Group Activities/Extended Applications
3. Quadratic, Piecewise-Defined, and Power Functions
Algebra Toolbox
3-1 Quadratic Functions; Parabolas
3-2 Solving Quadratic Equations
3-3 Piecewise-Defined Functions and Power Functions
3-4 Quadratic and Power Models
Summary
Key Concepts and Formulas
Chapter 3 Skills Check
Chapter 3 Review
Group Activities/Extended Applications
4. Additional Topics with Functions
Algebra Toolbox
4-1 Transformations of Graphs and Symmetry
4-2 Combining Functions; Composite Functions
4-3 One-to-One and Inverse Functions
4-4 Additional Equations and Inequalities
Summary
Key Concepts and Formulas
Chapter 4 Skills Check
Chapter 4 Review
Group Activities/Extended Applications
5. Exponential and Logarithmic Functions
Algebra Toolbox
5-1 Exponential Functions
5-2 Logarithmic Functions; Properties of Logarithms
5-3 Exponential and Logarithmic Equations
5-4 Exponential and Logarithmic Models
5-5 Exponential Functions and Investing
5-6 Annuities; Loan Repayment
5-7 Logistic and Gompertz Functions
Summary
Key Concepts and Formulas
Chapter 5 Skills Check
Chapter 5 Review
Group Activities/Extended Applications
6. Higher-Degree Polynomial and Rational Functions
Algebra Toolbox
6-1 Higher-Degree Polynomial Functions
6-2 Modeling with Cubic and Quartic Functions
6-3 Solution of Polynomial Equations
6-4 Polynomial Equations Continued; Fundamental Theorem of Algebra
6-5 Rational Functions and Rational Equations
6-6 Polynomial and Rational Inequalities
Summary
Key Concepts and Formulas
Chapter 6 Skills Check
Chapter 6 Review
Group Activities/Extended Applications
7. Systems of Equations and Matrices
Algebra Toolbox
7-1 Systems of Linear Equations in Three Variables
7-2 Matrix Solution of Systems of Linear Equations
7-3 Matrix Operations
7-4 Inverse Matrices; Matrix Equations
7-5 Determinants and Cramer’s Rule
7-6 Systems of Nonlinear Equations
Summary
Key Concepts and Formulas
Chapter 7 Skills Check
Chapter 7 Review
Group Activities/Extended Applications
8. Special Topics in Algebra
8-1 Systems of Inequalities
8-2 Linear Programming: Graphical Methods
8-3 Sequences and Discrete Functions
8-4 Series
8-5 Preparing for Calculus
8-6 The Binomial Theorem
8-7 Conic Sections: Circles and Parabolas
8-8 Conic Sections: Ellipses and Hyperbolas
Summary
Key Concepts and Formulas
Chapter 8 Skills Check
Chapter 8 Review
Group Activity/ Extended Applications
Appendices
A. Basic Graphing Calculator Guide
B. Basic Guide to Excel 2010 and Excel 2013
Photo Credits
Answers to Selected Exercises
IndexManual solution College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, 5th Edition for sale , College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, 5th Edition for sale , College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, 5th Edition pdf for sale , Ronald J. Harshbarger, University of South Carolina - Beaufort Lisa S. Yocco, Georgia Southern University
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