Intermediate Algebra: Functions & Authentic Applications, 3rd Edition

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