Intermediate Algebra : Functions and Authentic Applications

by Lehmann, Jay

• ISBN13: 9780131953338
• ISBN10: 0131953338
• Edition: 3rd
• Format: Hardcover
• Copyright: 2011-01-01
• Publisher: Prentice Hall

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

Note: Each chapter concludes with Chapter Summary, Key Points of the Chapter, Chapter Review Exercises, andChapter Practice Tests

Linear Equations and Linear Functions

Using Qualitative Graphs to Describe Situations

Graphing Linear Equations

Slope of a Line

Meaning of Slope for Equations, Graphs, and Tables

Finding Linear Equations

Functions

Modeling with Linear Functions

Using Lines to Model Data

Finding Equations of Linear Models

Function Notation and Making Predictions

Slope Is a Rate of Change

Systems of Linear Equations

Using Graphs and Tables to Solve Systems

Using Substitution and Elimination to Solve Systems

Using Systems to Model Data

Value, Interest, and Mixture Problems

Using Linear Inequalities in One Variable to Make Predictions

Cumulative Reviewof Chapters 1-3

Exponential Functions

Properties of Exponents

Rational Exponents

Graphing Exponential Functions

Finding Equations of Exponential Functions

Using Exponential Functions to Model Data

Logarithmic Functions

Inverse Functions

Logarithmic Functions

Properties of Logarithms

Using the Power Property with Exponential Models to Make Predictions

More Properties of Logarithms

Natural Logarithms

Cumulative Reviewof Chapters 1-5

Polynomial Functions

Adding and Subtracting Polynomial Expressions and Functions

Multiplying Polynomial Expressions and Functions

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