Intermediate Algebra Functions & Authentic Applications, Books a la Carte Edition

by Lehmann, Jay

• ISBN13: 9780321698667
• ISBN10: 0321698665
• Edition: 4th
• Format: Loose-leaf
• Copyright: 2010-05-19
• Publisher: Pearson
• More Book Details
• Purchase Benefits

Summary

This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books agrave; la Carte also offer a great valuethis format costs 35% less than a new textbook. Unique in its approach, theLehmann Algebra Seriesuses 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.

Table of Contents

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

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

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

Chapter Summary

Key Points of Chapter 4

Chapter 4 Review Exercises

Chapter 4 Test

 

5. Logarithmic Functions

5.1 Inverse Functions

5.2 Logarithmic Functions

5.3 Properties of Logarithms

5.4 Using the Power Property with Exponential Models to Make Predictions

5.5 More Properties of Logarithms

5.6 Natural Logarithms

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 Factoring Trinomials of the Form x2 + bx + c; Factoring out the GCF

6.4 Factoring Polynomials

6.5 Factoring Special Binomials; A Factoring Strategy

6.6 Using Factoring to Solve Polynomial Equations

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

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

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

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

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

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 Linear Inequalities in Two Variables; Systems of Linear Inequalities

Key Points of Section 11.2

11.3 Performing Operations with Complex Numbers

Key Points of Section 11.3

11.4 Pythagorean Theorem, Distance Formula, and Circles

Key Points of Section 11.4

11.5 Ellipses and Hyperbolas

Key Points of Section 11.5

11.6 Solving Nonlinear Systems of Equations

Key Points of Section 11.6

 

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

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