College Algebra A Graphing Approach

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

• ISBN13: 9780618394371
• ISBN10: 0618394370
• Edition: 4th
• Format: Hardcover
• Copyright: 2004-01-16
• Publisher: Brooks Cole

Summary

As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, College Algebra: 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 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 provided at point-of-use throughout the text can help instructors provide a quick introduction to concepts or reinforce student understanding. <

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

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 Cumulative Test: Chapters 3–5

Sequences, Series, and Probability

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Conics and Parametric Equations

Conics

Translations of Conics

Parametric Equations Cumulative Test: Chapters 6–7

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

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