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Home > Mathematics and Science Textbooks > Mathematics > Algebra > Intermediate Algebra: Functions & Authentic Applications
Intermediate Algebra: Functions & Authentic Applications

Intermediate Algebra: Functions & Authentic Applications


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About the Book

Jay Lehmann is passionate about answering the question so many math instructors hear their students ask:  But what is this good for?  He discovered that a curve fitting approach could enable students to see how math is used in all walks of life with current, compelling, and authentic situations.  In addition to curve fitting, Lehmann's approach includes other types of meaningful modeling, directed-discovery explorations, conceptual questions, labs, and of course, a large bank of skill problems.  The curve fitting applications serve as a portal for students to see the usefulness of mathematics so that they become fully engaged in the class.  Once involved, they are more receptive to all aspects of the course.

Table of Contents:
Note: Each chapter concludes with Chapter Summary, Key Points of the Chapter, Chapter Review Exercises, and Chapter Practice Tests.   Chapter 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 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 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 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 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 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 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 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 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 10:  Sequences and Series    10.1 Arithmetic Sequences    10.2 Geometric Sequences 10.3 Arithmetic Series 10.4 Geometric Series                     Chapter 11:  Additional Topics    11.1 Absolute Value: Equations and Inequalities    11.2 Linear Inequalities in Two Variables; Systems of Linear Inequalities 11.3 Performing Operations with Complex Numbers 11.4 Pythagorean Theorem, Distance Formula, and Circles 11.5 Ellipses and Parabolas 11.6 Solving Nonlinear Systems of Equations      Appendix 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                    Appendix 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 or Maximum 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      


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Product Details
  • ISBN-13: 9780131953338
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 279 mm
  • No of Pages: 720
  • Weight: 1635 gr
  • ISBN-10: 0131953338
  • Publisher Date: 22 Feb 2007
  • Binding: Hardback
  • Language: English
  • Sub Title: Functions & Authentic Applications
  • Width: 216 mm


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Intermediate Algebra: Functions & Authentic Applications
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