College Algebra : Concepts Through Functions

by Sullivan, Michael; Sullivan, Michael

• ISBN13: 9780131874787
• ISBN10: 0131874780
• Edition: CD
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: Prentice Hall

Summary

This new text embodies Sullivan/Sullivanrs"s hallmarks accuracy, precision, depth, strong student support, and abundant exerciseswhile exposing students early (Chapter One) to the study of functions."IT WORKS"for instructors and students because it focuses students on thefundamentals:preparingfor class,practicingtheir homework, andreviewing. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus and will have a solid understanding of the concept of a function.

Table of Contents

Preface to the Instructor	xiii
List of Applications	xix
Photo Credits	xxiii
To the Student	xxiv
Foundations: A Prelude To Functions	1	(38)
The Distance and Midpoint Formulas	2	(6)
Graphs of Equations in Two Variables; Intercepts; Symmetry	8	(10)
Lines	18	(15)
Circles	33	(6)
Functions and Their Graphs	39	(74)
Functions	40	(14)
The Graph of a Function	54	(9)
Properties of Functions	63	(12)
Library of Functions; Piecewise-defined Functions	75	(10)
Graphing Techniques: Transformations	85	(12)
Mathematical Models: Constructing Functions	97	(16)
Chapter Review	105	(6)
Chapter Test	111	(1)
Chapter Projects	112	(1)
Linear and Quadratic Functions	113	(68)
Properties of Linear Functions	114	(11)
Building Linear Functions from Data: Direct Variation	125	(8)
Quadratic Functions and Their Zeros	133	(11)
Properties of Quadratic Functions	144	(10)
Inequalities Involving Quadratic Functions	154	(4)
Quadratic Models	158	(9)
Complex Zeros of a Quadratic Function	167	(3)
Equations and Inequalities Involving the Absolute Value Function	170	(11)
Chapter Review	175	(4)
Chapter Test	179	(1)
Chapter Projects	179	(1)
Cumulative Review	180	(1)
Polynomial and Rational Functions	181	(82)
Polynomial Functions and Models	182	(21)
Properties of Rational Functions	203	(10)
The Graph of a Rational Function; Inverse and Joint Variation	213	(18)
Polynomial and Rational Inequalities	231	(5)
The Real Zeros of a Polynomial Function	236	(14)
Complex Zeros: Fundamental Theorem of Algebra	250	(13)
Chapter Review	256	(3)
Chapter Test	259	(1)
Chapter Projects	260	(1)
Cumulative Review	261	(2)
Exponential and Logarithmic Functions	263	(98)
Composite Functions	264	(7)
One-to-One Functions: Inverse Functions	271	(13)
Exponential Functions	284	(16)
Logarithmic Functions	300	(12)
Properties of Logarithms	312	(8)
Logarithmic and Exponential Equations	320	(5)
Compound Interest	325	(9)
Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay	334	(11)
Building Exponential, Logarithmic, and Logistic Functions from Data	345	(16)
Chapter Review	353	(6)
Chapter Test	359	(1)
Chapter Projects	359	(1)
Cumulative Review	360	(1)
Conics	361	(38)
Conics	362	(1)
The Parabola	363	(9)
The Ellipse	372	(10)
The Hyperbola	382	(17)
Chapter Review	394	(2)
Chapter Test	396	(1)
Chapter Projects	396	(1)
Cumulative Review	397	(2)
Systems of Equations and Inequalities	399	(96)
Systems of Linear Equations: Substitution and Elimination	400	(14)
Systems of Linear Equations: Matrices	414	(15)
Systems of Linear Equations: Determinants	429	(10)
Matrix Algebra	439	(16)
Partial Fraction Decomposition	455	(7)
Systems of Nonlinear Equations	462	(9)
Systems of Inequalities	471	(8)
Linear Programming	479	(16)
Chapter Review	486	(5)
Chapter Test	491	(1)
Chapter Projects	492	(1)
Cumulative Review	493	(2)
Sequences; Induction; The Binomial Theorem	495	(40)
Sequences	496	(9)
Arithmetic Sequences	505	(5)
Geometric Sequences; Geometric Series	510	(11)
Mathematical Induction	521	(3)
The Binomial Theorem	524	(11)
Chapter Review	531	(2)
Chapter Test	533	(1)
Chapter Projects	534	(1)
Cumulative Review	534	(1)
Counting and Probability	535
Sets and Counting	536	(5)
Permutations and Combinations	541	(10)
Probability	551
Chapter Review	561	(3)
Chapter Test	564	(1)
Chapter Projects	565	(1)
Cumulative Review	565
Appendix A Review	1	(1)
Algebra Essentials	1	(10)
Geometry Essentials	11	(8)
Polynomials	19	(10)
Factoring Polynomials	29	(9)
Synthetic Division	38	(3)
Rational Expressions	41	(11)
nth Roots; Rational Exponents	52	(8)
Solving Equations	60	(6)
Interval Notation; Solving Inequalities	66	(8)
Problem Solving: Applications of Linear Equations	74	(8)
Complex Numbers	82
Appendix B Graphing Utilities	1	(1)
The Viewing Rectangle	1	(2)
Using a Graphing Utility to Graph Equations	3	(4)
Using a Graphing Utility to Locate Intercepts and Check for Symmetry	7	(2)
Using a Graphing Utility to Solve Equations	9	(2)
Square Screens	11	(1)
Using a Graphing Utility to Graph Inequalities	12	(2)
Using a Graphing Utility to Solve Systems of Linear Equations	14
Answers	1	(1)
Index	1