Intermediate Algebra: Functions & Authentic Applications / Edition 4

Intermediate Algebra: Functions & Authentic Applications / Edition 4

5.0 2
by Jay Lehmann
     
 

ISBN-10: 032162095X

ISBN-13: 9780321620958

Pub. Date: 11/09/2009

Publisher: Pearson

Unique in its approach, the Lehmann Algebra Series uses curve fitting to model compelling, authentic situations, while answering the perennial question “But what is this good for?” Lehmann begins with interesting data sets, and then uses the data to find models and derive equations that fit the scenario. This interactive approach to the data helps

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Overview

Unique in its approach, the Lehmann Algebra Series uses curve fitting to model compelling, authentic situations, while answering the perennial question “But what is this good for?” Lehmann begins with interesting data sets, and then uses the data to find models and derive equations that fit the scenario. This interactive approach to the data helps readers connect concepts and motivates them to learn. The curve-fitting approach encourages readers to understand functions graphically, numerically, and symbolically. Because of the multi-faceted understanding that they gain, readers are able to verbally describe the concepts related to functions.

Product Details

ISBN-13:
9780321620958
Publisher:
Pearson
Publication date:
11/09/2009
Edition description:
Older Edition
Pages:
692
Sales rank:
900,181
Product dimensions:
8.70(w) x 11.00(h) x 1.10(d)

Related Subjects

Table of Contents

Preface

To The Student

Acknowledgments

Index of Applications

1. Linear Equations and Linear Functions

1.1 Using Qualitative Graphs to Describe Situations

1.2 Graphing Linear Equations

1.3 Slope of a Line

1.4 Meaning of Slope for Equations, Graphs, and Tables

1.5 Finding Linear Equations

1.6 Functions

Chapter Summary

Key Points of Chapter 1

Chapter 1 Review Exercises

Chapter 1 Test

2. Modeling With Linear Functions

2.1 Using Lines to Model Data

2.2 Finding Equations of Linear Models

2.3 Function Notation and Making Predictions

2.4 Slope Is a Rate of Change

Taking It to the Lab: Climate Change Lab
• Used Car Lab
• Golf

Ball Lab
• Walking Student Lab
• Linear Model Lab: Topic of Your

Choice

Chapter Summary

Key Points of Chapter 2

Chapter 2 Review Exercises

Chapter 2 Test

3. Systems of Linear Equations

3.1 Using Graphs and Tables to Solve Systems

3.2 Using Substitution and Elimination to Solve Systems

3.3 Using Systems to Model Data

3.4 Value, Interest, and Mixture Problems

3.5 Using Linear Inequalities in One Variable to Make Predictions

3.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities

Taking It to the Lab: Climate Change Lab
• Sports Lab
• Truck Lab

Chapter Summary

Key Points of Chapter 3

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review of Chapters 1—3

4. Exponential Functions

4.1 Properties of Exponents

4.2 Rational Exponents

4.3 Graphing Exponential Functions

4.4 Finding Equations of Exponential Functions

4.5 Using Exponential Functions to Model Data

Taking It to the Lab: Stringed Instrument Lab
• Cooling Water

Lab
• Exponential Lab: Topic of Y our Choice

Chapter Summary

Key Points of Chapter 4

Chapter 4 Review Exercises

Chapter 4 Test

5. Logarithmic Functions

5.1 Composite Functions

5.2 Inverse Functions

5.3 Logarithmic Functions

5.4 Properties of Logarithms

5.5 Using the Power Property with Exponential Models to Make Predictions

5.6 More Properties of Logarithms

5.7 Natural Logarithms

Taking It to the Lab: China and India Populations Lab

Folding Paper Lab

Exponential/Logarithmic Lab: Topic of Your Choice

Chapter Summary

Key Points of Chapter 5

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review of Chapters 1—5

6. Polynomial Functions

6.1 Adding and Subtracting Polynomial Expressions and Functions

6.2 Multiplying Polynomial Expressions and Functions

6.3 Dividing Polynomials: Long Division and Synthetic Division

6.4 Factoring Trinomials of the Form x2 + bx + c; Factoring Out the GCF

6.5 Factoring Polynomials

6.6 Factoring Special Binomials; A Factoring Strategy

6.7 Using Factoring to Solve Polynomial Equations

Taking It to the Lab: Climate Change Lab
• Projectile Lab

Chapter Summary

Key Points of Chapter 6

Chapter 6 Review Exercises

Chapter 6 Test

7. Quadratic Functions

7.1 Graphing Quadratic Functions in Vertex Form

7.2 Graphing Quadratic Functions in Standard Form

7.3 Using the Square Root Property to Solve Quadratic Equations

7.4 Solving Quadratic Equations by Completing the Square

7.5 Using the Quadratic Formula to Solve Quadratic Equations

7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions

7.7 Finding Quadratic Models

7.8 Modeling with Quadratic Functions

Taking It to the Lab: Climate Change Lab

Projectile Lab

Projectile Lab (Using a CBR or CBL)

Water Flow Lab

Quadratic Lab: Topic of Your Choice

Chapter Summary

Key Points of Chapter 7

Chapter 7 Review Exercises

Chapter 7 Test

Cumulative Review of Chapters 1—7

8. Rational Functions

8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions

8.2 Multiplying and Dividing Rational Expressions; Converting Units

8.3 Adding and Subtracting Rational Expressions

8.4 Simplifying Complex Rational Expressions

8.5 Solving Rational Equations

8.6 Modeling with Rational Functions

8.7 Variation

Taking It to the Lab: Climate Change Lab
• Illumination

Lab
• Boyle’s Law Lab

Chapter Summary

Key Points of Chapter 8

Chapter 8 Review Exercises

Chapter 8 Test

9. Radical Functions

9.1 Simplifying Radical Expressions

9.2 Adding, Subtracting, and Multiplying Radical Expressions

9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions

9.4 Graphing and Combining Square Root Functions

9.5 Solving Radical Equations

9.6 Modeling with Square Root Functions

Taking It to the Lab: Pendulum Lab

Chapter Summary

Key Points of Chapter 9

Chapter 9 Review Exercises

Chapter 9 Test

10. Sequences and Series

10.1 Arithmetic Sequences

10.2 Geometric Sequences

10.3 Arithmetic Series

10.4 Geometric Series

Taking It to the Lab: Bouncing Ball Lab
• Stacked Cups Lab

Chapter Summary

Key Points of Chapter 10

Chapter 10 Review Exercises

Chapter 10 Test

Cumulative Review of Chapters 1—10

11. Additional Topics

11.1 Absolute Value: Equations and Inequalities

Key Points of Section 11.1

11.2 Performing Operations with Complex Numbers

Key Points of Section 11.2

11.3 Pythagorean Theorem, Distance Formula, and Circles

Key Points of Section 11.3

11.4 Ellipses and Hyperbolas

Key Points of Section 11.4

11.5 Solving Nonlinear Systems of Equations

Key Points of Section 11.5

A. Reviewing Prerequisite Material

A.1 Plotting Points

A.2 Identifying Types of Numbers

A.3 Absolute Value

A.4 Performing Operations with Real Numbers

A.5 Exponents

A.6 Order of Operations

A.7 Constants, Variables, Expressions, and Equations

A.8 Distributive Law

A.9 Combining Like Terms

A.10 Solving Linear Equations in One Variable

A.11 Solving Equations in Two or More Variables

A.12 Equivalent Expressions and Equivalent Equations

B. Using a TI-83 or TI-84 Graphing Calculator (available online)

B.1 Turning a Graphing Calculator On or Off

B.2 Making the Screen Lighter or Darker

B.3 Entering an Equation

B.4 Graphing an Equation

B.5 Tracing a Curve without a Scattergram

B.6 Zooming

B.7 Setting the Window Format

B.8 Plotting Points in a Scattergram

B.9 Tracing a Scattergram

B.10 Graphing Equations with a Scattergram

B.11 Tracing a Curve with a Scattergram

B.12 Turning a Plotter On or Off

B.13 Creating a Table

B.14 Creating a Table for Two Equations

B.15 Using “Ask” in a Table

B.16 Finding the Regression Curve for Some Data

B.17 Plotting Points in Two Scattergrams

B.18 Finding the Intersection Point(s) of Two Curves

B.19 Finding the Minimum Point(s) or Maximum Point(s) of a Curve

B.20 Storing a Value

B.21 Finding Any x-Intercepts of a Curve

B.22 Turning an Equation On or Off

B.23 Finding Coordinates of Points

B.24 Graphing Equations with Axes “Turned Off”

B.25 Entering an Equation by Using Yn References

B.26 Responding to Error Messages

Answers to Odd-Numbered Exercises

Index

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