Experiencing Introductory and Intermediate Algebra Through Functions and Graphs

by Thomasson, JoAnne; Pesut, Robert

• ISBN13: 9780132215176
• ISBN10: 0132215179
• Edition: 3rd
• Format: Hardcover
• Copyright: 2006-03-08
• Publisher: Pearson

Summary

This text is filled with tools to help you succeed in your math course. Here are some of the ways that Thomasson/Pesut, Experiencing Introductory & Intermediate Algebra Through Functions and Graphs, Third Edition can help you learn the material and pass the course: Objective Checkups At the end of each learning objective is a set of Checkup exercises. Try these Checkup exercises to make sure you understand the key concepts in each section-or as a warm-up to your homework assignment. The answers to all Checkups are given at the back of the text. Graphing Calculator Keystrokes In the Technology boxes and Calculator Exercises, you will find detailed graphing calculator keystrokes demonstrating how to access and use specific features of the calculator. This "built-in" graphing calculator instruction will familiarize you with how to best use your graphing calculator to learn the material. Chapter Review At the end of each chapter is an extensive set of tools to help you study for the test: a Vocabulary Review; Reflections, which question your knowledge of the major concepts in the chapter; a detailed Section-by-Section Review with examples and exercises; a second set of chapter review exercises called Mixed Review; and a practice Chapter Test accompanied by Test-Taking Tips. Review this "built-in" study guide to make sure you are fully prepared!

Table of Contents

Preface	ix
Prealgebra Review	1	(1)
Rational Numbers and the Number Line	2	(12)
Operations with Rational Numbers	14	(22)
Exponents, Roots, and Scientific Notation	36	(19)
Properties of Real Numbers and Order of Operations	55	(9)
Variables and Algebraic Expressions	64	(7)
Simplifying Algebraic Expressions	71	(8)
Equations and Inequalities	79	(14)
Formulas	93	(30)
Chapter Summary	106	(1)
Section-by-Section Review	107	(9)
Mixed Review	116	(3)
Chapter Test	119	(3)
Chapter Project	122	(1)
Relations, Functions, and Graphs	123	(67)
Tables of Values, Ordered Pairs, and Relations	124	(11)
Rectangular Coordinate System and Graphing	135	(17)
Functions and Function Notation	152	(9)
Analyzing Graphs	161	(29)
Chapter Summary	175	(1)
Section-by-Section Review	176	(7)
Mixed Review	183	(3)
Chapter Test	186	(2)
Chapter Project	188	(1)
Chapters P-l Cumulative Review	189	(1)
Linear Equations in One Variable	190	(165)
Solving Equations Numerically and Graphically	191	(16)
Solving Equations by Using Addition and Multiplication	207	(10)
Solving Equations by Using a Combination of Properties	217	(11)
Solving Equations or Formulas for a Specified Variable	228	(7)
More Real-World Models	235	(11)
Solving Linear Absolute-Value Equations	246	(22)
Chapter Summary	255	(1)
Section-by-Section Review	256	(5)
Mixed Review	261	(2)
Chapter Test	263	(2)
Chapter Project	265	(3)
Linear Equations and Functions
Graphing by Using the Intercept Method	268	(17)
Slope	285	(16)
Graphing by Using the Slope-Intercept Method	301	(11)
Coinciding, Parallel, and Perpendicular Lines	312	(12)
Writing Linear Equations from Given Data	324	(31)
Chapter Summary	339	(1)
Section-by-Section Review	340	(6)
Mixed Review	346	(3)
Chapter Test	349	(3)
Chapter Project	352	(1)
Chapters P-3 Cumulative Review	353	(2)
Systems of Linear Equations	355	(70)
Solving Systems of Two Equations Graphically	356	(11)
Solving Systems of Two Equations by the Substitution Method	367	(11)
Solving Systems of Two Equations by the Addition Method	378	(11)
More Real-World Models	389	(13)
Solving Systems of Linear Equations in Three Variables	402	(23)
Chapter Summary	414	(1)
Section-by-Section Review	415	(5)
Mixed Review	420	(2)
Chapter Test	422	(2)
Chapter Project	424	(1)
Linear Inequalities	425	(51)
Linear Inequalities in One Variable	426	(16)
Linear Inequalities in Two Variables	442	(13)
Systems of Linear Inequalities in Two Variables	455	(21)
Chapter Summary	465	(1)
Section-by-Section Review	466	(4)
Mixed Review	470	(2)
Chapter Test	472	(2)
Chapter Project	474	(1)
Chapters P-5 Cumulative Review	475	(1)
Polynomial Functions	476	(64)
Introduction to Polynomials	477	(9)
Polynomial Functions and Their Graphs	486	(17)
Quadratic Functions and Their Graphs	503	(14)
Writing Quadratic Functions	517	(23)
Chapter Summary	526	(1)
Section-by-Section Review	527	(7)
Mixed Review	534	(3)
Chapter Test	537	(2)
Chapter Project	539	(1)
Exponents and Polynomials	540	(60)
Operations Involving Nonnegative Exponents	541	(13)
Operations Involving Negative Exponents	554	(8)
Polynomial Addition and Subtraction	562	(8)
Polynomial Multiplication	570	(11)
Polynomial Division	581	(19)
Chapter Summary	591	(1)
Section-by-Section Review	592	(4)
Mixed Review	596	(1)
Chapter Test	597	(2)
Chapter Project	599	(1)
Factoring	600	(55)
Greatest Common Factors	601	(11)
Factoring Perfect-Square Trinomials, Differences of Squares, and Sums and Differences of Cubes	612	(8)
Factoring Trinomials by Using the Trial-and-Error Method	620	(11)
Factoring Trinomials by Using the ac Method	631	(8)
General Strategies for Factoring	639	(16)
Chapter Summary	647	(1)
Section-by-Section Review	647	(4)
Mixed Review	651	(1)
Chapter Test	652	(2)
Chapter Project	654	(1)
Quadratic and Other Polynomial Equations and Inequalities	655	(116)
Solving Equations Numerically and Graphically	656	(10)
Solving Equations Algebraically by Factoring	666	(10)
Properties of Square Roots	676	(10)
Solving Quadratic Equations by Completing the Square	686	(14)
Solving Quadratic Equations by Using the Quadratic Formula	700	(12)
More Real-World Models	712	(8)
More Quadratic Functions and Their Graphs	720	(21)
Solving Quadratic Inequalities	741	(30)
Chapter Summary	754	(1)
Section-by-Section Review	755	(10)
Mixed Review	765	(2)
Chapter Test	767	(2)
Chapter Project	769	(1)
Chapters P-9 Cumulative Review	770	(1)
Rational Expressions, Functions, and Equations	771	(77)
Rational Expressions and Functions	772	(15)
Multiplication and Division of Rational Expressions	787	(12)
Addition and Subtraction of Rational Expressions	799	(15)
Solving Rational Equations in One Variable	814	(12)
More Real-World Models	826	(22)
Chapter Summary	836	(1)
Section-by-Section Review	837	(7)
Mixed Review	844	(2)
Chapter Test	846	(1)
Chapter Project	847	(1)
Radical Expressions, Functions, and Equations	848	(92)
Radical Expressions, Functions, and Graphs	849	(14)
Rational Exponents	863	(10)
Properties of Rational Exponents	873	(7)
Properties of Radicals	880	(11)
Operations on Radicals	891	(9)
Solving Radical Equations in One Variable	900	(12)
Equations with Imaginary-Number Solutions	912	(28)
Chapter Summary	926	(1)
Section-by-Section Review	927	(7)
Mixed Review	934	(2)
Chapter Test	936	(2)
Chapter Project	938	(1)
Chapters P-11 Cumulative Review	939	(1)
Exponential and Logarithmic Functions and Equations	940
Inverse Functions	941	(11)
Exponential Functions	952	(10)
Logarithmic Functions	962	(12)
Properties of Logarithms	974	(5)
Solving Exponential and Logarithmic Equations	979
Chapter Summary	989	(1)
Section-by-Section Review	990	(6)
Mixed Review	996	(1)
Chapter Test	997	(1)
Chapter Project	998	(1)
Chapters P-12 Cumulative Review	999
Photo Credits	1
Answers to Checkup Exercises	1
Answers to Selected Exercises	21
Index	1