Preface | |

Acknowledgments | |

To the Student About the Author | |

Applications Index P. Prerequisites: Fundamental Concepts of Algebra | |

Algebraic Expressions, Mathematical Models, and Real Numbers | |

Basic Rules of Algebra | |

Exponents and Scientific cotation | |

Radicals and Rational Exponents | |

PolynomialsMid-Chapter Check Point | |

Factoring Polynomials | |

Rational Expressions | |

Summary, Review, and Test | |

Review Exercises | |

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Functions and Graphs | |

Graphs and Graphing Utilities | |

Basics of Functions and Their Graphs | |

More on Functions and Their Graphs | |

Linear Functions and Slope | |

More on Slope | |

Mid-Chapter Check Point | |

Transformations of Functions | |

Combinations of Functions; Composite Functions | |

Inverse Functions | |

Distance and Midpoint Formulas; Circles | |

Summary, Review, and Test | |

Review Exercises | |

Test | |

Equations and Inequalities | |

Linear Equations and Rational Equations | |

Models and Applications | |

Complex Numbers | |

Quadratic Equations | |

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Other Types of Equations | |

Linear Inequalities and Absolute Value Inequalities | |

Summary, Review, and Test | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1-2) | |

Polynomial and Rational Functions | |

Quadratic Functions | |

Polynomial Functions and Their Graphs | |

Dividing Polynomials; Remainder and Factor Theorems | |

Zeros of Polynomial Functions | |

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Rational Functions and Their Graphs | |

Polynomial and Rational Inequalities | |

Modeling Using Variation | |

Summary, Review, and Test | |

Review Exercises | |

Test Cumulative Review Exercises (Chapters 1-3) | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

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Exponential and Logarithmic Equations | |

Exponential Growth and Decay; Modeling Data | |

Summary, Review, and Test | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1-4) | |

Systems of Equations and Inequalities | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in Three Variables | |

Partial Fractions | |

Systems of Nonlinear Equations in Two Variables | |

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Systems of Inequalities | |

Linear Programming | |

Summary, Review, and Test | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1-5) | |

Matrices and Determinants | |

Matrix Solutions to Linear Systems | |

Inconsistent and Dependent Systems and Their Applications | |

Matrix Operations and Their Applications | |

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Multiplicative Inverses of Matrices and Matrix Equations | |

Determinants and Cramer's Rule | |

Summary, Review, and Test | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1-6) | |

Conic Sections | |

The Ellipse | |

The Hyperbola | |

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The Parabola | |

Summary, Review, and Test | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1-7) | |

Sequences, Induction, and Probability | |

Sequences and Summation Notation | |

Arithmetic Sequences | |

Geometric Sequences and Series | |

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Mathematical Induction | |

The Binomial Theorem | |

Counting | |

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