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# Graphical Approach to College Algebra, A

**by**Hornsby, John; Lial, Margaret L.; Rockswold, Gary K.

3rd

### 9780201735093

0201735091

Hardcover

1/1/2003

Addison Wesley

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## Summary

This major revision reflects the authors combined years of experience as classroom teachers, and underscores their enthusiasm for the use of the graphing calculator as a teaching tool. Their approach is to present the various classes of functions, examine the nature of its graph, and discuss the analytic solution of equations based on that function. Then, graphical support for the solution is provided with a graphing calculator. Using graphing technology to study math has opened up a new area of error analysis, so the authors have included a What Went Wrong feature to discuss typical errors. Throughout, the accent is on using both analytical and graphical methods to solve interesting applications for various functions. The new edition also includes a reference chapter on basic algebraic concepts for those needing a refresher course.

## Table of Contents

Linear Functions, Equations, and Inequalities | |

Real Numbers and Coordinate Systems | |

Introduction to Relations and Functions | |

Linear Functions | |

Equations of Lines and Linear Models | |

Linear Equations and Inequalities | |

Applications of Linear Functions | |

Analysis of Graphs of Functions | |

Graphs of Basic Functions and Relations; Symmetry | |

Vertical and Horizontal Shifts of Graphs | |

Stretching, Shrinking, and Reflecting Graphs | |

Absolute Value Functions: Graphs, Equations, Inequalities, and Applications | |

Piecewise-Defined Functions | |

Operations and Composition | |

Polynomial Functions | |

Complex Numbers | |

Quadratic Functions and Graphs | |

Quadratic Equations and Inequalities | |

Further Applications of Quadratic Functions and Models | |

Higher-Degree Polynomial Functions and Graphs | |

Topics in the Theory of Polynomial Functions (I) | |

Topics in the Theory of Polynomial Functions (II) | |

Polynomial Equations and Inequalities | |

Further Applications and Models | |

Rational, Power, and Root Functions | |

Rational Functions and Graphs | |

More on Graphs of Rational Functions | |

Rational Equations, Inequalities, Applications, and Models | |

Functions Defined by Powers and Roots | |

Equations, Inequalities, and Applications Involving Root Functions | |

Inverse, Exponential, and Logarithmic Functions | |

Inverse Functions | |

Exponential Functions | |

Logarithms and Their Properties | |

Logarithmic Functions | |

Exponential and Logarithmic Equations and Inequalities | |

Further Applications and Modeling with Exponential and Logarithmic Functions | |

Analytic Geometry | |

Circles and Parabolas | |

Ellipses and Hyperbolas | |

Summary of the Conic Sections | |

Parametric Equations | |

Matrices and Systems of Equations and Inequalities | |

Systems of Equations | |

Solution of Linear Systems by the Echelon Method | |

Solution of Linear Systems by Row Transformations | |

Matrix Properties and Operations | |

Determinants and Cramer's Rule | |

Solution of Linear Systems | |

Systems of Inequalities and Linear Programming | |

Partial Fractions | |

Further Topics in Algebra | |

Sequences and Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

The Binomial Theorem | |

Mathematical Induction | |

Counting Theory | |

Probability | |

R. Reference: Basic Algebraic Concepts and Geometry Formulas | |

Review of Exponents and Polynomials | |

Review of Factoring | |

Review of Rational Expressions | |

Review of Negative and Rational Exponents | |

Review of Radicals | |

Review of Geometry Formulas | |

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