College Algebra

by Unknown

• ISBN13: 9780395976210
• ISBN10: 0395976219
• Edition: 3rd
• Format: Paperback
• Copyright: 1999-07-07
• Publisher: Brooks Cole

Table of Contents

A Word from the Authors (Preface)	vii
Features	ix
A Brief Introduction to Graphing Utilities	xix
How to Study Algebra	xxi
Equations and Inequalities	1	(86)
Linear Equations	2	(9)
Mathematical Modeling	11	(14)
Quadratic Equations	25	(11)
The Quadratic Formula	36	(11)
Mid-Chapter Quiz	46	(1)
Other Types of Equations	47	(11)
Linear Inequalities	58	(12)
Other Types of Inequalities	70	(17)
Chapter Project: Salaries in Professional Baseball	80	(1)
Summary	81	(1)
Review Exercises	82	(4)
Test	86	(1)
The Cartesian Plane and Graphs	87	(64)
The Cartesian Plane	88	(11)
Graphs of Equations	99	(10)
Graphing Utilities	109	(10)
Mid-Chapter Quiz	118	(1)
Lines in the Plane	119	(12)
Linear Modeling	131	(20)
Chapter Project: Demographics	143	(1)
Summary	144	(1)
Review Exercises	145	(4)
Test	149	(1)
Cumulative Test: Chapters 1--2	150	(1)
Functions and Graphs	151	(62)
Functions	152	(13)
Graphs of Functions	165	(11)
Transformations of Functions	176	(10)
Mid-Chapter Quiz	185	(1)
The Algebra of Functions	186	(10)
Inverse Functions	196	(17)
Chapter Project: World Paper Production and Consumption	206	(1)
Summary	207	(1)
Review Exercises	208	(4)
Test	212	(1)
Polynomial and Rational Functions	213	(84)
Quadratic Functions and Models	214	(12)
Polynomial Functions of Higher Degree	226	(10)
Polynomial Division	236	(10)
Real Zeros of Polynomial Functions	246	(14)
Mid-Chapter Quiz	259	(1)
Complex Numbers	260	(10)
The Fundamental Theorem of Algebra	270	(8)
Rational Functions	278	(19)
Chapter Project: Analyzing a Bouncing Ball	290	(1)
Summary	291	(1)
Review Exercises	292	(4)
Test	296	(1)
Exponential and Logarithmic Functions	297	(62)
Exponential Functions	298	(12)
Logarithmic Functions	310	(10)
Properties of Logarithms	320	(9)
Mid-Chapter Quiz	328	(1)
Solving Exponential and Logarithmic Equations	329	(10)
Exponential and Logarithmic Models	339	(20)
Chapter Project: Newton's Law of Cooling	351	(1)
Summary	352	(1)
Review Exercises	353	(4)
Test	357	(1)
Cumulative Test: Chapters 3-5	358	(1)
Systems of Equations and Inequalities	359	(66)
Systems of Equations	360	(10)
Linear Systems in Two Variables	370	(12)
Linear Systems in Three or More Variables	382	(14)
Mid-Chapter Quiz	395	(1)
Systems of Inequalities	396	(10)
Linear Programming	406	(19)
Chapter Project: Consumer Credit Outstanding	417	(1)
Summary	418	(1)
Review Exercises	419	(5)
Test	424	(1)
Matrices and Determinants	425	(66)
Matrices and Linear Systems	426	(14)
Operations with Matrices	440	(14)
The Inverse of a Square Matrix	454	(11)
Mid-Chapter Quiz	464	(1)
The Determinant of a Square Matrix	465	(10)
Applications of Matrices and Determinants	475	(16)
Chapter Project: Market Share	484	(1)
Summary	485	(1)
Review Exercises	486	(4)
Test	490	(1)
Sequences, Series, and Probability	491	(1)
Sequences and Summation Notation	492	(11)
Arithmetic Sequences and Series	503	(9)
Geometric Sequences and Series	512	(11)
Mid-Chapter Quiz	522	(1)
The Binomial Theorem	523	(7)
Counting Principles	530	(10)
Probability	540	(13)
Mathematical Induction	553
Chapter Project: The Multiplier Effect	564	(1)
Summary	565	(1)
Review Exercises	566	(4)
Test	570	(1)
Cumulative Test: Chapters 6-8	571
Appendices Appendix A
Review of Fundamental Concepts of Algebra
A.1 Real Numbers: Order and Absolute Value	1	(7)
A.2 The Basic Rules of Algebra	8	(10)
A.3 Integer Exponents	18	(8)
A.4 Radicals and Rational Exponents	26	(8)
A.5 Polynomials and Special Products	34	(8)
A.6 Factoring	42	(5)
A.7 Fractional Expressions and Probability	47	(9)
Appendix B
Conic Sections
B.1 Conic Sections	56	(12)
B.2 Conic Sections and Translations	68	(9)
Appendix C
Further Concepts in Statistics
C.1 Data and Linear Modeling	77	(9)
C.2 Measures of Central Tendency and Dispersion	86	(9)
Answers to Warm Ups, Odd-Numbered Exercises, Quizzes, and Tests	95	(64)
Index of Applications	159	(4)
Index	163