College Algebra

by Unknown

• ISBN13: 9780618052882
• ISBN10: 0618052887
• Edition: 3rd
• Format: Paperback
• Copyright: 2000-08-01
• Publisher: Brooks Cole

Table of Contents

A Word from the Authors (Preface)	viii
Features Highlights	xi
An Introduction to Graphing Utilities	xvii
Prerequisites	1	(66)
Real Numbers	2	(10)
Exponents and Radicals	12	(12)
Polynomials and Factoring	24	(13)
Rational Expressions	37	(10)
Graphical Representation of Data	47	(20)
Chapter Summary	59	(1)
Review Exercises	60	(4)
Chapter Project: Modeling the Volume of a Box	64	(1)
Chapter Test	65	(1)
Library of Functions	66	(1)
Functions and Their Graphs	67	(88)
Graphs of Equations	68	(11)
Lines in the Plane	79	(13)
Functions	92	(14)
Graphs of Functions	106	(12)
Shifting, Reflecting, and Stretching Graphs	118	(9)
Combinations of Functions	127	(11)
Inverse Functions	138	(17)
Chapter Summary	148	(1)
Review Exercises	149	(4)
Chapter Project: Modeling the Area of a Plot	153	(1)
Chapter Test	154	(1)
Intercepts, Zeros, and Solutions	155	(70)
Modeling with Linear Equations	156	(13)
Solving Equations Graphically	169	(11)
Complex Numbers	180	(8)
Solving Equations Algebraically	188	(17)
Solving Inequalities Algebraically and Graphically	205	(20)
Chapter Summary	217	(1)
Review Exercises	218	(3)
Chapter Project: Mozart and the Golden Ratio	221	(1)
Chapter Test	222	(1)
Cumulative Test: Chapters P--2	223	(2)
Polynomial and Rational Functions	225	(72)
Quadratic Functions	226	(11)
Polynomial Functions of Higher Degree	237	(13)
Real Zeros of Polynomial Functions	250	(14)
The Fundamental Theorem of Algebra	264	(7)
Rational Functions and Asymptotes	271	(10)
Graphs of Rational Functions	281	(16)
Chapter Summary	290	(1)
Review Exercises	291	(4)
Chapter Project: Finding Points of Intersection	295	(1)
Chapter Test	296	(1)
Exponential and Logarithmic Functions	297	(66)
Exponential Functions and Their Graphs	298	(13)
Logarithmic Functions and Their Graphs	311	(11)
Properties of Logarithms	322	(7)
Solving Exponential and Logarithmic Equations	329	(11)
Exponential and Logarithmic Models	340	(23)
Chapter Summary	356	(1)
Review Exercises	357	(4)
Chapter Project: A Graphical Approach to Compound Interest	361	(1)
Chapter Test	362	(1)
Systems of Equations and Inequalities	363	(66)
Solving Systems of Equations	364	(11)
Systems of Linear Equations in Two Variables	375	(10)
Multivariable Linear Systems	385	(16)
Systems of Inequalities	401	(10)
Linear Programming	411	(18)
Chapter Summary	421	(1)
Review Exercises	422	(3)
Chapter Project: Fitting Models to Data	425	(1)
Chapter Test	426	(1)
Cumulative Test: Chapters 3--5	427	(2)
Matrices and Determinants	429	(66)
Matrices and Systems of Equations	430	(15)
Operations with Matrices	445	(15)
The Inverse of a Square Matrix	460	(9)
The Determinant of a Square Matrix	469	(8)
Applications of Matrices and Determinants	477	(18)
Chapter Summary	487	(1)
Review Exercises	488	(5)
Chapter Project: Solving Systems of Equations	493	(1)
Chapter Test	494	(1)
Sequences, Series, and Probability	495	(78)
Sequences and Series	496	(11)
Arithmetic Sequences and Partial Sums	507	(9)
Geometric Sequences and Series	516	(10)
Mathematical Induction	526	(8)
The Binomial Theorem	534	(8)
Counting Principles	542	(10)
Probability	552	(21)
Chapter Summary	565	(1)
Review Exercises	566	(5)
Chapter Project: Fitting Models to Data	571	(1)
Chapter Test	572	(1)
Conics and Parametric Equations	573
Conics	574
Translations of Conics	588
Parametric Equations	597
Chapter Summary	605
Review Exercises	606
Chapter Project: Parametric Equations and Inverse Functions	610
Chapter Test	611
Cumulative Test: Chapters 6--8	612
Appendices
Appendix A Proofs of Selected Theorems	A1
Appendix B Concepts in Statistics	A7
B.1 Representing Data	A7
B.2 Measures of Central Tendency and Dispersion	A11
B.3 Least Squares Regression	A20
Appendix C Solving Linear Equations and Inequalities	A22
Answers to Odd-Numbered Exercises and Tests	A27
Index of Applications	A125
Index	A128