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# College Algebra Essentials

**by**Sullivan, Michael

8th

### 9780136154341

0136154344

Hardcover

1/1/2008

Prentice Hall

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## Summary

The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers.Chapter topics include Graphs; Polynomial and Rational Functions; Conics; Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more.For individuals with an interest in learning algebra as it applies to their everyday lives.

## Table of Contents

Review | |

Real Numbers | |

Algebra Essentials | |

Geometry Essentials | |

Polynomials | |

Factoring Polynomials | |

Synthetic Division | |

Rational Expressions | |

nth Roots; Rational Exponents | |

Equations and Inequalities | |

Linear Equations | |

Quadratic Equations | |

Complex Numbers; Quadratic Equations in the Complex Number System | |

Radical Equations; Equations Quadratic in Form; Factorable Equations | |

Solving Inequalities | |

Equations and Inequalities Involving Absolute Value | |

Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications | |

Graphs | |

The Distance and Midpoint Formulas | |

Graphs of Equations in Two Variables; Intercepts; Symmetry | |

Lines | |

Circles | |

Variation | |

Functions and Their Graphs | |

Functions | |

The Graph of a Function | |

Properties of Functions | |

Library of Functions; Piecewise-defined Functions | |

Graphing Techniques: Transformations | |

Mathematical Models: Building Functions | |

Linear and Quadratic Functions | |

Linear Functions and Their Properties | |

Building Linear Functions from Data | |

Quadratic Functions and Their Properties | |

Quadratic Models; Building Quadratic Functions from Data | |

Inequalities Involving QuadraticFunctions | |

Polynomial and Rational Functions | |

Polynomial Functions and Models | |

Properties of Rational Functions | |

The Graph of a Rational Function | |

Polynomial and Rational Inequalities | |

The Real Zeros of a Polynomial Function | |

Complex Zeros: Fundamental Theorem of Algebra | |

Exponential and Logarithmic Functions | |

Composite Functions | |

One-to-One Functions; Inverse Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Logarithmic and Exponential Equations | |

Compound Interest | |

Exponential Growth and Decay Models; Newtonrsquo;s Law; Logistic Growth and Decay Models | |

Building Exponential, Logarithmic, and Logistic Functions from Data | |

Systems of Equations and Inequalities | |

Systems of Linear Equations: Substitution and Elimination | |

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