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Intermediate Algebra Functions and Authentic Applications,9780131010604
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Intermediate Algebra Functions and Authentic Applications

by
Edition:
2nd
ISBN13:

9780131010604

ISBN10:
0131010603
Format:
Hardcover
Pub. Date:
1/1/2004
Publisher(s):
Prentice Hall

Questions About This Book?

What version or edition is this?
This is the 2nd edition with a publication date of 1/1/2004.
What is included with this book?
  • The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.

Summary

Unique and enthusiastic in its approach, Lehmann's book is a rich combination of important skills, concepts, and applications. This book captivates readers' interest as they use curve fitting to model current, compelling, and authentic situations. The curve fitting approach emphasizes concepts related to functions in a natural, substantial way and encourages readers to view functions graphically, numerically, and symbolically as well as to verbally describe concepts related to functions. The examples in the test demonstrate both how to perform skills and how to investigate concepts. Students learn why they perform skills to solve problems as well as how to solve the problems. Explorations deepen users' understanding as they investigate mathematics with graphing calculator and pencil and paper activities. Topics discussed include linear functions, modeling with linear functions, systems of linear functions, exponential functions, logarithmic functions, polynomial functions, using quadratic functions to model data, rational functions, radical functions, and modeling with sequences and series. For individuals interested in deepening their understanding of algebra.

Table of Contents

Preface xii
To the Student xviii
Linear Functions
1(54)
Using Qualitative Graphs to Describe Situations
1(5)
Sketching Graphs of Linear Equations
6(11)
Slope of a Line
17(9)
Graphical, Numerical, and Symbolic Significance of Slope
26(10)
Finding Linear Equations
36(8)
Functions
44(11)
Chapter Summary
51(1)
Key Points of This Chapter
51(1)
Review Exercises
52(1)
Chapter Test
53(2)
Modeling with Linear Functions
55(48)
Using Lines to Model Data
55(11)
Finding Equations for Linear Models
66(9)
Function Notation and Making Predictions
75(13)
Slope Is a Rate of Change
88(15)
Taking It to the Lab
96(3)
Chapter Summary
99(1)
Key Points of This Chapter
99(1)
Review Exercises
100(2)
Chapter Test
102(1)
Systems of Linear Equations
103(43)
Using Graphs to Solve Systems
103(10)
Using Elimination and Substitution to Solve Systems
113(8)
Using Systems to Model Data
121(8)
Using Linear Inequalities in One Variable to Make Predictions
129(17)
Taking It to the Lab
138(1)
Chapter Summary
139(1)
Key Points of This Chapter
139(1)
Review Exercises
140(2)
Chapter Test
142(1)
Cumulative Review of Chapters 1-3
143(3)
Exponential Functions
146(56)
Properties of Exponents
146(8)
Rational Exponents
154(9)
Sketching Graphs of Exponential Functions
163(11)
Finding Equations for Exponential Functions
174(7)
Using Exponential Functions to Model Data
181(21)
Taking It to the Lab
194(3)
Chapter Summary
197(1)
Key Points of This Chapter
197(2)
Review Exercises
199(1)
Chapter Test
200(2)
Logarithmic Functions
202(52)
Inverse Functions
202(11)
Logarithmic Functions
213(6)
Properties of Logarithms
219(6)
Using the Power Property with Exponential Models to Make Predictions
225(8)
More Properties of Logarithms
233(6)
Natural Logarithms
239(15)
Taking It to the Lab
246(1)
Chapter Summary
247(1)
Key Points of This Chapter
247(2)
Review Exercises
249(1)
Chapter Test
250(1)
Cumulative Review of Chapters 1-5
251(3)
Polynomial Functions
254(53)
Sketching Graphs of Quadratic Functions in Vertex Form
254(9)
Expanding and Factoring Polynomials
263(9)
Factoring Quadratic Polynomials
272(7)
Factoring Polynomials
279(5)
Using Factoring to Solve Polynomial Equations
284(11)
Sketching Graphs of Quadratic Functions in Standard Form
295(12)
Chapter Summary
303(1)
Key Points of This Chapter
303(1)
Review Exercises
304(1)
Chapter Test
305(2)
Using Quadratic Functions to Model Data
307(50)
Solving Quadratic Equations by Extracting Square Roots
307(7)
Solving Quadratic Equations by Completing the Square
314(5)
Solving Quadratic Equations by Using the Quadratic Formula
319(8)
Solving Systems of Three Linear Equations to Find Quadratic Functions
327(5)
Solving Systems of Three Linear Equations to Find Quadratic Models
332(6)
Modeling with Quadratic Functions
338(19)
Taking It to the Lab
348(3)
Chapter Summary
351(1)
Key Points of This Chapter
351(1)
Review Exercises
352(2)
Chapter Test
354(1)
Cumulative Review of Chapters 1-7
354(3)
Rational Functions
357(71)
Finding the Domains of Rational Functions and Simplifying Rational Expressions
357(9)
Multiplying and Dividing Rational Expressions
366(6)
Adding and Subtracting Rational Expressions
372(10)
Simplifying Complex Rational Expressions
382(8)
Solving Rational Equations
390(7)
Modeling with Rational Functions
397(10)
Variation
407(21)
Taking It to the Lab
419(3)
Chapter Summary
422(1)
Key Points of This Chapter
422(2)
Review Exercises
424(2)
Chapter Test
426(2)
Radical Functions
428(48)
Simplifying Radical Expressions
428(7)
Adding, Subtracting, and Multiplying Radical Expressions
435(7)
Rationalizing Denominators and Simplifying Quotients of Radical Expressions
442(7)
Sketching Graphs and Combining Square Root Functions
449(7)
Solving Square Root Equations
456(7)
Modeling with Square Root Functions
463(13)
Taking It to the Lab
471(1)
Chapter Summary
472(1)
Key Points of This Chapter
472(2)
Review Exercises
474(1)
Chapter Test
475(1)
Modeling with Sequences and Series
476(33)
Arithmetic Sequences
476(7)
Geometric Sequences
483(7)
Arithmetic Series
490(6)
Geometric Series
496(13)
Taking It to the Lab
501(3)
Chapter Summary
504(1)
Key Points of This Chapter
504(1)
Review Exercises
504(1)
Chapter Test
505(1)
Cumulative Review of Chapters 1-10
506(3)
Additional Topics
509(50)
Absolute Value Equations and Inequalities
509(5)
Inequalities in Two Variables
514(6)
Factoring Sums and Differences of Cubes
520(3)
Complex Numbers
523(6)
Interest and Revenue Applications
529(10)
Pythagorean Theorem, Distance Formula, and Circles
539(6)
Ellipses and Hyperbolas
545(8)
Solving Nonlinear Systems of Equations
553(6)
A REVIEWING PREREQUISITE MATERIAL
559(8)
Plotting Points
559(1)
Identifying Real Numbers
559(1)
Absolute Value
560(1)
Performing Arithmetic with Signed Numbers
560(1)
Constants, Variables, Expressions, and Equations
561(1)
Using Distributive Laws
562(1)
Combining Like Terms
562(1)
Reviewing Order of Operations
562(1)
Solving Linear Equations in One Variable
563(1)
Solving Literal Equations in Two Variables
564(1)
Equivalent Expressions and Equivalent Equations
565(2)
B USING A TI-82 OR TI-83 GRAPHING CALCULATOR
567(13)
Turning Your Graphing Calculator On and Off
567(1)
Making Your Screen Lighter or Darker
567(1)
Entering a Function
567(1)
Graphing a Function
568(1)
Tracing a Function Without a Scattergram
568(1)
Zooming
568(1)
Setting the Window Format
569(1)
Plotting Points for a Scattergram
569(1)
Tracing a Scattergram
570(1)
Graphing Functions with a Scattergram
570(1)
Tracing a Function with a Scattergram
571(1)
Turning a Plotter ``On'' or ``Off''
571(1)
Creating a Table
571(1)
Creating a Table for Two Functions
572(1)
Using ``Ask'' in a Table
572(1)
Finding a Regression Curve for Some Data
572(1)
Plotting Points for Two Scattergrams
573(1)
Finding the Intersection Point(s) of Two Curves
574(1)
Finding the Minimum or Maximum of a Curve
575(1)
Storing a Value
575(1)
Graphing Sequences
575(1)
Turning a Function ``On'' or ``Off''
576(1)
Finding Coordinates of Points
576(1)
Graphing Functions with Axes ``Turned Off''
577(1)
Entering a Function Using Yn References
577(1)
Responding to Error Messages
577(3)
C COMPARING TI-82/83/85/86 CALCULATOR COMMANDS
580(1)
Answers to Odd-Numbered Exercises 581(46)
Index 627


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