Understanding Intermediate Algebra Using Graphing Technology / Edition 1

Understanding Intermediate Algebra Using Graphing Technology / Edition 1

by Lewis Hirsch, Arthur Goodman
     
 

ISBN-10: 0314202196

ISBN-13: 9780314202192

Pub. Date: 02/28/1997

Publisher: Brooks/Cole

Product Details

ISBN-13:
9780314202192
Publisher:
Brooks/Cole
Publication date:
02/28/1997
Series:
Mathematics Series
Edition description:
REV
Pages:
860
Product dimensions:
9.06(w) x 10.63(h) x (d)

Related Subjects

Table of Contents

The Fundamental Concepts
1(64)
Basic Definitions: The Real Numbers and the Real Number Line
2(13)
Operations with Real Numbers
15(15)
Algebraic Expressions
30(8)
Translating Phrases and Sentences into Algebraic Form
38(9)
First-Degree Equations and Inequalities
47(18)
Chapter Summary, Review Exercises, and Practice Test
56(9)
Graphing Straight Lines and Functions
65(78)
The Rectangular Coordinate System and Graphing Straight Lines
66(18)
Relations and Functions: Basic Concepts
84(20)
Function Notation
104(6)
Functions and Graphs
110(10)
Interpreting Graphs
120(23)
Chapter Summary, Review Exercises, and Practice Test
132(11)
Equations and Inequalities
143(72)
Equations as Mathematical Models
144(11)
First-Degree Equations and Applications
155(17)
First-Degree Inequalities and Applications
172(13)
Absolute Value Equations and Inequalities
185(10)
Functions and Equations
195(20)
Chapter Summary, Review Exercises, and Practice Test
200(8)
Cumulative Review and Practice Test: Chapters 1-3
208(7)
Equations of a Line and Linear Systems in Two Variables
215(70)
Straight Lines and Slope
216(22)
Equations of a Line and Linear Functions as Mathematical Models
238(13)
Linear Systems in Two Variables
251(17)
Graphing Linear Inequalities in Two Variables
268(17)
Chapter Summary, Review Exercises, and Practice Test
276(9)
Polynomial Functions
285(56)
Polynomial Functions as Mathematical Models
286(8)
Polynomials: Sums, Differences, and Products
294(6)
General Forms and Special Products
300(8)
Factoring Out the Greatest Common Factor
308(4)
Factoring Trinomials
312(10)
Solving Polynomial Equations by Factoring and Graphing
322(11)
Polynomial Division
333(8)
Chapter Summary, Review Exercises, and Practice Test
336(5)
Rational Expressions and Functions
341(64)
Equivalent Fractions
342(6)
Multiplication and Division of Rational Expressions
348(5)
Sums and Differences of Rational Expressions
353(7)
Mixed Operations and Complex Fractions
360(6)
Fractional Equations and Inequalities
366(7)
Literal Equations
373(5)
Rational Functions and Equations as Mathematical Models
378(27)
Chapter Summary, Review Exercises, and Practice Test
392(7)
Cumulative Review and Practice Test: Chapters 4-6
399(6)
Exponents and Radicals
405(74)
Natural Number and Integer Exponents
406(14)
Scientific Notation
420(5)
Rational Exponents and Radical Notation
425(13)
Simplifying Radical Expressions
438(8)
Adding and Subtracting Radical Expressions
446(3)
Multiplying and Dividing Radical Expressions
449(5)
Radical Functions and Equations
454(10)
Complex Numbers
464(15)
Chapter Summary, Review Exercises, and Practice Test
472(7)
Quadratic Functions
479(104)
Quadratic Functions as Mathematical Models
480(11)
Solving Quadratic Equations: The Factoring and Square Root Methods
491(13)
Solving Quadratic Equations: Completing the Square
504(5)
Solving Quadratic Equations: The Quadratic Formula and Graphing Methods
509(10)
Equations Reducible to Quadratic Form (and More Radical Equations)
519(9)
Graphing Quadratic Functions
528(20)
Quadratic and Rational Inequalities
548(11)
The Distance Formula: Circles
559(24)
Chapter Summary, Review Exercises, and Practice Test
572(11)
More on Functions
583(58)
More on Function Notation: Split Functions
584(9)
Composition and the Algebra of Functions
593(8)
Types of Functions
601(8)
Inverse Functions
609(9)
Variation
618(23)
Chapter Summary, Review Exercises, and Practice Test
627(8)
Cumulative Review and Practice Test: Chapters 7-9
635(6)
Exponential and Logarithmic Functions
641(56)
Exponential Functions
642(10)
Logarithms
652(7)
Properties of Logarithms
659(6)
Common Logarithms, Natural Logarithms, and Change of Base
665(8)
Exponential and Logarithmic Equations
673(8)
Applications: Exponential and Logarithmic Functions as Mathematical Models
681(16)
Chapter Summary, Review Exercises, and Practice Test
691(6)
More Systems of Equations and Systems of Inequalities
697(78)
3 X 3 Linear Systems
698(9)
Solving Linear Systems Using Augmented Matrices
707(14)
The Algebra of Matrices
721(9)
Solving Linear Systems Using Matrix Inverses
730(7)
Determinants and Cramer's Rule
737(10)
Systems of Linear Inequalities
747(6)
Nonlinear Systems of Equations
753(22)
Chapter Summary, Review Exercises, and Practice Test
761(9)
Cumulative Review and Practice Test: Chapters 10-11
770(5)
Appendix A Sets 775(5)
Appendix B The Conic Sections 780(23)
Answers to Selected Exercises and Chapter Tests 803(52)
Index 855

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >