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# Algebra and Trigonometry : A Graphing Approach

**by**Larson, Ron; Hostetler, Robert P.; Edwards, Bruce H.

4th

### 9780618394555

0618394559

Hardcover

1/16/2004

Brooks Cole

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## Summary

As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Algebra and Trigonometry: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for algebra and trigonometry courses that require the use of a graphing calculator includes a moderate review of algebra to help students entering the course with weak algebra skills. Enhanced accessibility to students is achieved through careful writing and design, including same-page examples and solutions, which maximize the readability of the text. Similarly, side-by-side solutions show algebraic, visual, and numeric representations of the mathematics to support students\' various learning styles. New! The Library of Functions thread throughout the text provides a definition and list of characteristics for each elementary function and compares newly introduced functions to those already presented to increase students\' understanding of these important concepts. A Library of Functions Summary also appears inside the front cover for quick reference. New! Technology Support notes provided at point-of-use throughout the text guide students to the Technology Support Appendix, where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. These notes also direct students to the Graphing Technology Guide on the textbook web site for keystroke support. New! Technology Tips, also provided at point-of-use, call attention to the strengths and weaknesses of graphing technology. Some of these tips offer alternative methods for solving or checking a problem using technology. New! Because students are often misled by the jagged nature of graphs generated by graphing calculators, this text frequently highlights the path of a function in color on the calculator image. This unique design feature enables students to visualize the mathematical concepts clearly and accurately and avoid common misunderstandings. Study Tips at point-of-use throughout the text reinforce concepts and help students learn how to study mathematics. New! Checkpoint questions appear after each worked-out solution, directing students to work a similar exercise for further practice or concept reinforcement. These can be used by instructors in class to quickly check student understanding or by students to practice and study concepts. Chapter Review exercises, Chapter Tests, and periodic Cumulative Tests offer students frequent opportunities for self-assessment and help them to develop strong study- and test-taking skills. The Student Success Organizer is a valuable note-taking guide that helps students organize their class notes and create an effective study and review tool. New! Text-specific Tutorial Support is provided in numerous additional resources designed to help students succeed. These resources include live online tutoring, instructional DVDs and videos, and algorithmic tutorial support and self-assessment available on CD-ROM and the web. Explorations

## Table of Contents

Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test | |

Prerequisites | |

Real Numbers | |

Exponents and Radicals | |

Polynomials and Factoring | |

Rational Expressions | |

The Cartesian Plane | |

Exploring Data: Representing Data Graphically | |

Functions and Their Graphs Introduction to Library of Functions | |

Graphs of Equations | |

Lines in the Plane | |

Functions | |

Graphs of Functions | |

Shifting, Reflecting, and Stretching Graphs | |

Combinations of Functions | |

Inverse Functions | |

Solving Equations and Inequalities | |

Linear Equations and Problem Solving | |

Solving Equations Graphically | |

Complex Numbers | |

Solving Equations Algebraically | |

Solving Inequalities Algebraically and Graphically | |

Exploring Data: Linear Models and Scatter Plots Cumulative Test: Chapters P–2 | |

Polynomial and Rational Functions | |

Quadratic Functions | |

Polynomial Functions of Higher Degree | |

Real Zeros of Polynomial Functions | |

The Fundamental Theorem of Algebra | |

Rational Functions and Asymptotes | |

Graphs of Rational Functions | |

Exploring Data: Quadratic Models | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Logarithmic Functions and Their Graphs | |

Properties of Logarithms | |

Solving Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models | |

Exploring Data: Nonlinear Models Cumulative Test: Chapters 3–4 | |

Trigonometric Functions | |

Angles and Their Measure | |

Right Triangle Trigonometry | |

Trigonometric Functions of Any Angle | |

Graphs of Sine and Cosine Functions | |

Graphs of Other Trigonometric Functions | |

Inverse Trigonometric Functions | |

Applications and Models | |

Analytic Trigonometry | |

Using Fundamental Identities | |

Verifying Trigonometric Identities | |

Solving Trigonometric Equations | |

Sum and Difference Formulas | |

Multiple-Angle and Product-to-Sum Formulas | |

Additional Topics in Trigonometry | |

Law of Sines | |

Law of Cosines | |

Vectors in the Plane | |

Vectors and Dot Products | |

Trigonometric Form of a Complex Number Cumulative Test: Chapters 5–7 | |

Linear Systems and Matrices | |

Solving Systems of Equations | |

Systems of Linear Equations in Two Variables | |

Multivariable Linear Systems | |

Matrices and Systems of Equations | |

Operations with Matrices | |

The Inverse of a Square Matrix | |

The Determinant of a Square Matrix | |

Applications of Matrices and Determinants | |

Sequences, Series, and Probability | |

Sequences and Series | |

Arithmetic Sequences and Partial Sums | |

Geometric Sequences and Series | |

Mathematical Induction | |

The Binomial Theorem | |

Counting Principles | |

Probability | |

Topics in Analytic Geometry | |

Conics | |

Translations of Conics | |

Parametric Equations | |

Polar Coordinates | |

Graphs of Polar Equations | |

Polar Equations of Conics Cumulative Test: Chapters 8–10 | |

Technology Support Guide | |

Proofs of Selected Theorems | |

Concepts in Statistics | |

Measures of Central Tendency and Dispersion | |

Least Squares Regression | |

Solving Linear Equations and Inequalities | |

Systems of Inequalities | |

Solving Systems of Inequalities | |

Linear Programming | |

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