9780131007789

College Algebra : Graphing, Data and Analysis

by ;
  • ISBN13:

    9780131007789

  • ISBN10:

    0131007785

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 1/1/2004
  • Publisher: Prentice Hall
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Summary

For courses in College Algebra, Algebra & Trigonometry, Precalculus, and Trigonometry which require student use of a graphing calculator. The Sullivans have created the hallmark pedagogy in this series to assist instructors in attaining their course goals.

Table of Contents

Preface to the Instructor xi
Preface to the Student xvi
Photo and Illustration Credits xvii
List of Applications
xxvii
Review
1(70)
Classification of Numbers
2(10)
Algebra Review
12(12)
Geometry Review
24(5)
Polynomials
29(8)
Polynomial Division; Synthetic Division
37(7)
Factoring Polynomials
44(9)
Rational Expressions
53(11)
nth Roots; Rational Exponents
64(7)
Equations, Inequalities, and Functions
71(88)
Solving Equations and Inequalities in One Variable Algebraically
72(14)
Rectangular Coordinates; Graphing Utilities
86(9)
Introduction to Graphing Equations
95(8)
Symmetry; Graphing Key Equations; Circles
103(13)
Solving Equations and Inequalities in One Variable Using a Graphing Utility
116(5)
Introduction to Functions
121(13)
The Graph of a Function
134(8)
Properties of Functions
142(17)
Chapter Review
152(5)
Chapter Projects
157(2)
Linear Functions and Models
159(54)
Properties of Linear Functions
160(13)
Equations of Lines; Building Linear Functions
173(13)
Setting Up Linear Equations; Applications
186(13)
Building Linear Functions from Data
199(14)
Chapter Review
207(4)
Chapter Projects
211(1)
Cumulative Review
212(1)
Quadratic Functions and Models
213(54)
Quadratic Equations
214(13)
The Graph of a Quadratic Function
227(13)
Inequalities Involving Quadratic Functions
240(5)
Quadratic Models: Building Quadratic Functions
245(7)
Complex Numbers; Quadratic Equations with a Negative Discriminant
252(15)
Chapter Review
261(3)
Chapter Projects
264(1)
Cumulative Review
265(2)
Additional Functions and Models
267(46)
Radical Equations; Absolute Value Equations; Absolute Value Inequalities
268(9)
Library of Functions; Piecewise-defined Functions
277(11)
Graphing Techniques: Transformations
288(13)
Models Involving the Square Root Function and Piecewise-defined Functions
301(12)
Chapter Review
308(2)
Chapter Projects
310(1)
Cumulative Review
311(2)
Polynomial and Rational Functions
313(80)
Power Functions and Models
314(6)
Polynomial Functions and Models
320(15)
Rational Functions I
335(12)
Rational Functions II: Analyzing Graphs
347(13)
Polynomial and Rational Inequalities
360(6)
The Real Zeros of a Polynomial Function
366(14)
Complex Zeros; Fundamental Theorem of Algebra
380(13)
Chapter Review
386(4)
Chapter Projects
390(2)
Cumulative Review
392(1)
Exponential and Logarithmic Functions
393(106)
Composite Functions
394(7)
Inverse Functions
401(14)
Exponential Functions
415(16)
Logarithmic Functions
431(12)
Properties of Logarithms
443(9)
Logarithmic and Exponential Equations
452(5)
Compound Interest
457(10)
Exponential Growth and Decay
467(8)
Logistic Growth and Decay
475(6)
Fitting Data to Exponential, Logarithmic, and Logistic Functions
481(18)
Chapter Review
489(7)
Chapter Projects
496(1)
Cumulative Review
497(2)
Analytic Geometry
499(46)
Conics
500(1)
The Parabola
501(11)
The Ellipse
512(13)
The Hyperbola
525(20)
Chapter Review
540(2)
Chapter Projects
542(1)
Cumulative Review
543(2)
Systems of Equations and Inequalities
545(106)
Systems of Linear Equations: Substitution and Elimination
546(15)
Systems of Linear Equations: Matrices
561(17)
Systems of Linear Equations: Determinants
578(12)
Matrix Algebra
590(18)
Partial Fraction Decomposition
608(7)
Systems of Nonlinear Equations
615(12)
Systems of Inequalities
627(9)
Linear Programming
636(15)
Chapter Review
644(5)
Chapter Projects
649(1)
Cumulative Review
650(1)
Sequences; Induction; The Binomial Theorem
651(50)
Sequences
652(15)
Arithmetic Sequences
667(6)
Geometric Sequences; Geometric Series
673(10)
Mathematical Induction
683(4)
The Binomial Theorem
687(14)
Chapter Review
695(3)
Chapter Projects
698(2)
Cumulative Review
700(1)
Counting and Probability
701
Sets and Counting
702(6)
Permutations and Combinations
708(11)
Probability of Equally Likely Outcomes
719(14)
Obtaining Probabilities from Data
733
Chapter Review
739(4)
Chapter Projects
743(1)
Cumulative Review
744
Answers 1(1)
Index 1

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