College Algebra

by Sullivan, Michael

• ISBN13: 9780130914538
• ISBN10: 0130914533
• Edition: 6th
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: Pearson College Div

Summary

The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. Chapter topics include Graphs; Polynomial and Rational Functions; Conics; Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more. For individuals with an interest in learning algebra as it applies to their everyday lives.

Table of Contents

Preface to the Instructor	viii
Preface to the Student	xiv
List of Applications	xxiv
Photo Credits	xxviii
Review	1	(82)
Real Numbers	2	(14)
Algebra Review	16	(6)
Geometry Review	22	(6)
Integer Exponents	28	(9)
Polynomials	37	(10)
Factoring Polynomials	47	(8)
Rational Expressions	55	(12)
Square Roots; Radicals	67	(7)
Rational Exponents	74	(9)
Chapter Review	78	(5)
Equations and Inequalities	83	(62)
Equations	84	(10)
Setting Up Equations: Applications	94	(11)
Quadratic Equations	105	(14)
Radical Equations; Equations Quadratic in Form	119	(5)
Solving Inequalities	124	(11)
Equations and Inequalities Involving Absolute Value	135	(10)
Chapter Review	139	(4)
Project at Motorola	143	(2)
Graphs	145	(58)
Rectangular Coordinates	146	(7)
Graphs of Equations	153	(10)
Lines	163	(12)
Parallel and Perpendicular Lines; Circles	175	(10)
Scatter Diagrams; Linear Curve Fitting	185	(7)
Variation	192	(11)
Chapter Review	198	(4)
Project at Motorola	202	(1)
Functions and Their Graphs	203	(78)
Functions	204	(20)
Properties of Functions	224	(10)
Library of Functions; Piecewise-Defined Functions	234	(8)
Graphing Techniques: Transformations	242	(13)
Operations on Functions; Composite Functions	255	(9)
Mathematical Models: Constructing Functions	264	(17)
Chapter Review	273	(6)
Project at Motorola	279	(2)
Polynomial and Rational Functions	281	(72)
Quadratic Functions and Models	282	(18)
Polynomial Functions	300	(18)
Rational Functions I	318	(10)
Rational Functions II: Analyzing Graphs	328	(14)
Polynomial and Rational Inequalities	342	(11)
Chapter Review	348	(4)
Project at Motorola	352	(1)
The Zeros of a Polynomial Function	353	(38)
Synthetic Division	354	(4)
The Real Zeros of a Polynomial Function	358	(14)
Complex Numbers; Quadratic Equations with a Negative Discriminant	372	(9)
Complex Zeros; Fundamental Theorem of Algebra	381	(10)
Chapter Review	387	(3)
Project at Motorola	390	(1)
Exponential and Logarithmic Functions	391	(84)
One-to-One Functions; Inverse Functions	392	(12)
Exponential Functions	404	(14)
Logarithmic Functions	418	(11)
Properties of Logarithms; Exponential and Logarithmic Models	429	(13)
Logarithmic and Exponential Equations	442	(4)
Compound Interest	446	(9)
Growth and Decay; Newton's Law; Logistic Models	455	(8)
Logarithmic Scales	463	(12)
Chapter Review	468	(6)
Project at Motorola	474	(1)
The Conics	475	(40)
Preliminaries	476	(1)
The Parabola	477	(10)
The Ellipse	487	(10)
The Hyperbola	497	(18)
Chapter Review	511	(2)
Project at Motorola	513	(2)
Systems of Equations and Inequalities	515	(100)
Systems of Linear Equations: Two Equations Containing Two Variables	516	(11)
Systems of Linear Equations: Three Equations Containing Three Variables	527	(6)
Systems of Linear Equations: Matrices	533	(15)
Systems of Linear Equations: Determinants	548	(11)
Matrix Algebra	559	(16)
Partial Fraction Decomposition	575	(7)
Systems of Nonlinear Equations	582	(10)
Systems of Inequalities	592	(8)
Linear Programming	600	(15)
Chapter Review	607	(6)
Project at Motorola	613	(2)
Sequences; Induction; The Binomial Theorem	615	(44)
Sequences	616	(10)
Arithmetic Sequences	626	(6)
Geometric Sequences; Geometric Series	632	(11)
Mathematical Induction	643	(4)
The Binomial Theorem	647	(12)
Chapter Review	655	(3)
Project at Motorola	658	(1)
Counting and Probability	659	(38)
Sets and Counting	660	(6)
Permutations and Combinations	666	(11)
Probability	677	(20)
Chapter Review	691	(4)
Project at Motorola	695	(2)
Appendix Graphing Utilities	697
1 The Viewing Rectangle	697	(2)
2 Using a Graphing Utility to Graph Equations	699	(4)
3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry	703	(2)
4 Using a Graphing Utility to Solve Equations	705	(3)
5 Square Screens	708	(1)
6 Using a Graphing Utility to Graph Inequalities	709	(1)
7 Using a Graphing Utility to Solve Systems of Linear Equations	710
Answers	1	(1)
Index	1