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# Precalculus : Functions and Graphs

**by**Swokowski,Earl

11th

### 9780495108375

0495108375

Hardcover

3/14/2007

Cengage Learning

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## Summary

Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text popular among students year after year. This latest edition of Swokowski and Cole's PRECALCULUS: FUNCTIONS AND GRAPHS retains these features. The problems have been consistently praised for being at just the right level for precalculus students like you. The book also provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important-this book effectively prepares you for further courses in mathematics.

## Table of Contents

Topics From Algebra | |

Real Numbers | |

Exponents and Radicals | |

Algebraic Expressions | |

Equations | |

Complex Numbers | |

Inequalities | |

Rectangular Coordinate Systems | |

Lines. | |

Chapter 1 Review Exercises. | |

Chapter 1 Discussion Exercises | |

Functions | |

Definition of Function | |

Graphs of Functions | |

Quadratic Functions | |

Operations on Functions | |

Inverse Functions. | |

Chapter 2 Review Exercises. | |

Chapter 2 Discussion Exercises | |

Polynomial And Rational Functions | |

Polynomial Functions of Degree Greater than 2 | |

Properties of Division | |

Zeros of Polynomials | |

Complex and Rational Zeros of Polynomials | |

Rational Functions. | |

Chapter 3 Review Exercises. | |

Chapter 3 Discussion Exercises | |

Exponential And Logarithmic Functions | |

Exponential Functions | |

The Natural Exponential Function | |

Logarithmic Functions | |

Properties of Logarithms | |

Exponential and Logarithmic Equations. | |

Chapter 4 Review Exercises. | |

Chapter 4 Discussion Exercises | |

The Trigonometric Functions | |

Angles | |

Trigonometric Functions of Angles | |

Trigonometric Functions of Real Numbers | |

Values of the Trigonometric Functions | |

Trigonometric Graphs | |

Additional Trigonometric Graphs | |

Applied Problems. | |

Chapter 5 Review Exercises. | |

Chapter 5 Discussion Exercises | |

Analytic Trigonometry | |

Verifying Trigonometric Identities | |

Trigonometric Equations | |

The Addition and Subtraction Formulas | |

Multiple-Angle Formulas | |

Product-to-Sum and Sum-to-Product Formulas | |

The Inverse Trigonometric Functions. | |

Chapter 6 Review Exercises. | |

Chapter 6 Discussion Exercises | |

Applications Of Trigonometry | |

The Law of Sines | |

The Law of Cosines | |

Trigonometric Form for Complex Numbers | |

DeMoivre's Theorem and nth Roots of Complex Numbers | |

Vectors | |

The Dot Product. | |

Chapter 7 Review Exercises. | |

Chapter 7 Discussion Exercises | |

Systems Of Equations And Inequalities | |

Systems of Equations | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in More than Two Variables | |

Partial Fractions | |

Systems of Inequalities | |

Linear Programming | |

The Algebra of Matrices | |

The Inverse of a Matrix | |

Determinants | |

Properties of Determinants. | |

Chapter 8 Review Exercises. | |

Chapter 8 Discussion Exercises | |

Sequences, Series, and Probability | |

Infinite Sequences and Summation Notation | |

Arithmetic Sequences | |

Geometric Sequences | |

Mathematical Induction | |

The Binomial Theorem | |

Permutations | |

Distinguishable Permutations and Combinations | |

Probability. | |

Chapter 9 Review Exercises. | |

Chapter 9 Discussion Exercises | |

Topics From Analytic Geometry | |

Parabolas | |

Ellipses | |

Hyperbolas | |

Plane Curves and Parametric Equations | |

Polar Coordinates | |

Polar Equations of Conics. | |

Chapter 10 Review Exercises. | |

Chapter 10 Discussion Exercises | |

Using a TI-82/83 Graphing Calculator | |

Common Graphs and Their Equations | |

A Summary of Graph Transformations | |

Graphs of the Trigonometric Functions and Their Inverses | |

Answers to Selected Exercises | |

Index of Applications | |

Index | |

Table of Contents provided by Publisher. All Rights Reserved. |