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# Algebra and Trigonometry A Graphing Approach 5th Edition

**by**Larson

5th

### 9780618851959

061885195X

Nonspecific Binding

3/27/2007

Brooks Cole

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## Summary

Part of the market-leadingGraphing Approach Seriesby Larson, Hostetler, and Edwards,Algebra and Trigonometry: A Graphing Approach,5/e, is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Continuing the series' emphasis on student support, the Fifth Edition introducesPrerequisite Skills Review.For selected examples throughout the text, thePrerequisite Skills Reviewdirects students to previous sections in the text to review concepts and skills needed to master the material at hand. In addition, prerequisite skills review exercises in Eduspace (see below for description) are referenced in every exercise set. The Larson team achieves accessibility through careful writing and design, including examples with detailed solutions that begin and end on the same page, which maximizes the readability of the text. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. New!TheNutshell Appendixreviews the essentials of each function, discussed in theLibrary of Functionsfeature, and offers study capsules with properties, methods, and examples of the major concepts covered in the textbook. This appendix is an ideal study aid for students. New!Progressive Summariesoutline newly introduced topics every three chapters and contextualize them within the framework of the course. New!Make a Decisionexercises--extended modeling applications presented at the end of selected exercise sets--give students the opportunity to apply the mathematical concepts and techniques they've learned to large sets of real data. Updated!TheLibrary of Functions,threaded throughout the text, defines each elementary function and its characteristics at first point of use. The Fifth Edition incorporates new exercises that tests students' understanding of these functions. All elementary functions are also presented in a summary on the front endpapers of the text for convenient reference. Updated!TheChapter Summarieshave been updated to include the Key Terms and Key concepts that are covered in the chapter. These chapter summaries are an effective study aid because they provide a single point of reference for review. Updated!TheProofs of Selected Theoremsare now presented at the end of each chapter for easy reference. The Larson team provides an abundance of features that help students use technology to visualize and understand mathematical concepts.Technology Tipspoint out the pros and cons of technology use in certain mathematical situations. They also provide alternative methods of solving or checking a problem using a graphing calculator. Students may sometimes be misled by the visuals generated by graphing calculators, so the authors use color to enhance the graphing calculator displays in the textbook, where appropriate. This enables students to visualize concepts accurately and efficiently.Technology Supportnotes appear throughout the text and refer students to theTechnology Support Appendix,where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. TheTechnology Supportnotes also direct students to theGraphing Technology Guide,on the textbook's website, for keystroke support for numerous calculator models. Carefully positioned throughout the text,Explorationsengage students in active discovery of mathematical concepts, strengthening critical thinking skills and helping them to develop an intuitive understanding of theoretical concepts. What Yo

## Table of Contents

P. Prerequisites | |

Real Numbers | |

Exponents and Radicals | |

Polynomials and Factoring | |

Rational Expressions | |

The Cartesian Plane | |

Representing Data Graphically | |

Functions and Their Graphs Introduction to Library of Parent Functions | |

Graphs of Equations | |

Lines in the Plane | |

Functions | |

Graphs of Functions | |

Shifting, Reflection, and Stretching Graphs | |

Combinations of Functions | |

Inverse Functions | |

Solving Equations and Inequalities | |

Linear Equations and Problem Solving | |

Solving Equations Graphically | |

Complex Numbers | |

Solving Quadratic Equations Algebraically | |

Solving Other Types of Equations Algebraically | |

Solving Inequalities Algebraically and Graphically | |

Linear Models and Scatter Plots Cumulative Test: Chapters P-2 Progressive Summary: 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 | |

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 | |

Nonlinear Models Progressive Summary: Chapters P-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 Progressive Summary: Chapters P-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 Principals | |

Probability | |

Topics in Analytic Geometry | |

Circles and Parabolas | |

Ellipses | |

Hyperbolas | |

Parametric Equations | |

Polar Coordinates | |

Graphs of Polar Equations | |

Polar Equations of Conics Cumulative Test: Chapters 8-10 Progressive Summary: Chapters P-10 | |

Technology Support Guide | |

Concepts in Statistics | |

Measures of Central Tendency and Dispersion | |

Least Squares Regression | |

Variation | |

Solving Linear Equations and Inequalities | |

Systems of Inequalities | |

Solving Systems of Inequalities | |

Linear Programming | |

Study Capsules | |

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