Intermediate Algebra: Graphs and Functions (Book with CD-ROM)

by Larson, Ron

• ISBN13: 9780618226887
• ISBN10: 0618226885
• Edition: 3rd
• Format: Hardcover
• Copyright: 2002-08-15
• Publisher: Cengage High School

Summary

Intermediate Algebra: Graphs and Functions, Third Edition, is designed specifically for courses that incorporate early graphing and emphasize problem solving and real-life applications. The use of calculators is integrated throughout the text, but remains optional. The authors' proven approach combines proven pedagogy, innovative features, high-interest applications, and a wide range of technology options that add flexibility for instructors and enhance the learning process.

• Eduspace, powered by Blackboard, for the Larson/Hostetler/Hodgkins Intermediate Algebra course features algorithmic exercises and test bank content in question pools.

Table of Contents

A Word from the Authors	viii
Features	xi
An Introduction to Graphing Utilities	xvii
Concepts of Elementary Algebra	1	(78)
Algebraic Expressions	2	(13)
Operations with Polynomials	15	(13)
Factoring Polynomials	28	(11)
Mid-Chapter Quiz	38	(1)
Factoring Trinomials	39	(12)
Solving Linear Equations	51	(12)
Solving Equations by Factoring	63	(11)
Chapter Summary	74	(1)
Review	75	(3)
Chapter Test	78	(1)
Introduction to Graphs and Functions	79	(80)
Describing Data Graphically	80	(16)
Graphs of Equations	96	(13)
Slope: An Aid to Graphing Lines	109	(14)
Mid-Chapter Quiz	122	(1)
Relations, Functions, and Function Notation	123	(11)
Graphs of Functions	134	(9)
Transformations of Functions	143	(16)
Chapter Summary	152	(1)
Review	153	(4)
Chapter Test	157	(1)
Cumulative Test 1--2	158	(1)
Linear Functions, Equations, and Inequalities	159	(72)
Writing Equations of Lines	160	(11)
Applications of Linear Equations	171	(15)
Business and Scientific Problems	186	(14)
Mid-Chapter Quiz	199	(1)
Linear Inequalities in One Variable	200	(14)
Absolute Value Equations and Inequalities	214	(17)
Chapter Summary	223	(1)
Review	224	(4)
Chapter Test	228	(1)
Cumulative Test 1--3	229	(2)
Systems of Linear Equations and Inequalities	231	(74)
Systems of Linear Equations in Two Variables	232	(16)
Systems of Linear Equations in Three Variables	248	(14)
Matrices and Linear Systems	262	(12)
Mid-Chapter Quiz	273	(1)
Determinants and Linear Systems	274	(12)
Linear Inequalities in Two Variables	286	(19)
Chapter Summary	297	(1)
Review	298	(4)
Chapter Test	302	(1)
Cumulative Test 1--4	303	(2)
Radicals and Complex Numbers	305	(58)
Integer Exponents and Scientific Notation	306	(7)
Rational Exponents and Radicals	313	(11)
Simplifying and Combining Radicals	324	(9)
Mid-Chapter Quiz	332	(1)
Multiplying and Dividing Radicals	333	(7)
Solving Radical Equations	340	(8)
Complex Numbers	348	(15)
Chapter Summary	356	(1)
Review	357	(3)
Chapter Test	360	(1)
Cumulative Test 1--5	361	(2)
Quadratic Functions, Equations, and Inequalities	363	(64)
The Factoring and Square Root Methods	364	(12)
Completing the Square	376	(8)
The Quadratic Formula	384	(9)
Mid-Chapter Quiz	392	(1)
Applications of Quadratic Equations	393	(8)
Graphs of Quadratic Functions	401	(11)
Quadratic Inequalities in One Variable	412	(15)
Chapter Summary	421	(1)
Review	422	(3)
Chapter Test	425	(1)
Cumulative Test 1--6	426	(1)
Rational Expressions and Rational Functions	427	(72)
Simplifying Rational Expressions	428	(10)
Multiplying and Dividing Rational Expressions	438	(8)
Adding and Subtracting Rational Expressions	446	(10)
Dividing Polynomials	456	(11)
Mid-Chapter Quiz	466	(1)
Solving Rational Equations	467	(10)
Graphing Rational Functions	477	(10)
Rational Inequalities in One Variable	487	(12)
Chapter Summary	493	(1)
Review	494	(3)
Chapter Test	497	(1)
Cumulative Test 1--7	498	(1)
More About Functions and Relations	499	(84)
Combinations of Functions	500	(10)
Inverse Functions	510	(10)
Variation and Mathematical Models	520	(11)
Polynomial Functions and Their Graphs	531	(9)
Mid-Chapter Quiz	539	(1)
Circles	540	(6)
Ellipses and Hyperbolas	546	(14)
Parabolas	560	(6)
Nonlinear Systems of Equations	566	(17)
Chapter Summary	575	(1)
Review	576	(4)
Chapter Test	580	(1)
Cumulative Test 1--8	581	(2)
Exponential and Logarithmic Functions and Equations	583	(58)
Exponential Functions and Their Graphs	584	(11)
Logarithmic Functions and Their Graphs	595	(12)
Properties of Logarithms	607	(9)
Mid-Chapter Quiz	615	(1)
Solving Exponential and Logarithmic Equations	616	(8)
Exponential and Logarithmic Applications	624	(17)
Chapter Summary	634	(1)
Review	635	(3)
Chapter Test	638	(1)
Cumulative Test 1--9	639	(2)
Sequences, Series, and the Binomial Theorem	641	(1)
Sequences and Series	642	(12)
Arithmetic Sequences	654	(10)
Mid-Chapter Quiz	663	(1)
Geometric Sequences and Series	664	(10)
The Binomial Theorem	674	(7)
Chapter Summary	681	(1)
Review	682	(3)
Chapter Test	685	(1)
Cumulative Test 1--10	686
Appendices	1	(1)
Appendix A Real Numbers
A.1 Operations with Real Numbers	2	(5)
A.2 Properties of Real Numbers	17	(10)
Appendix B Mathematical Modeling
B.1 Modeling Data with Linear Functions
B.2 Modeling Data with Quadratic Functions
B.3 Modeling Data with Exponential and Logarithmic Functions
Appendix C Linear Programming
Appendix D Counting Principles and Probability
D.1 Counting Principles
D.2 Probability
Appendix E Introduction to Logic
E.1 Statements and Truth Tables
E.2 Implications, Quantifiers, and Venn Diagrams
E.3 Logical Arguments
Appendix F Further Concepts in Geometry
F.1 Exploring Congruence and Similarity
F.2 Angles
Appendix G Further Concepts in Statistics
Appendix H Graphing Utility Programs
Answers
Answers to Odd-Numbered Exercises, Quizzes, and Tests	27	(70)
Indices
Index of Applications	97	(4)
Index	101