Table of Contents

Introduction

Part I: Functions and Graphing

Chapter 1: Functions and Relations

1.1 Relations

1.2 Introduction to Functions

1.3 Functional Notation and Terminology

1.4 Functions and Algebra

1.5 More Operations with Functions

Chapter 2: Principles of Graphing

2.1 Introduction to Graphing

2.2 Arithmetic and Graphing

2.3 Post-Composition and Graphing

2.4 Graphing and Linear Functions

2.5 Pre-Composition and Graphing

2.6 Transformational Graphing

2.7 Graphing and Mathematical Models

Part II: Transcendental Functions

Chapter 3: Exponential Functions

3.1 Powers and Exponential Functions

3.2 Applications of Exponential Functions

3.3 Constructing Exponential Models

Chapter 4: Logarithmic Functions

4.1 Introduction to Logarithms

4.2 Properties of Logarithms

4.3 Exponential Models and Logarithms

Chapter 5: Trigonometric Functions

5.1 Complex Numbers and Geometry

5.2 Exponential and Trigonometric Functions

5.3 The Algebra of Trigonometric Functions

5.4 Graphing and Trigonometric Functions

5.5 Solving Trigonometric Equations

5.6 Geometry and Trigonometric Functions

Part III: Algebraic Functions

Chapter 6: Polynomial and Rational Functions

6.1 Powers and Proportions

6.2 Polynomials and Roots

6.3 Polynomial Division and Factoring

6.4 Sketching Rational Functions

Appendices

A1 Commonly Used Formulas

A2 Algebraic Rules of Thumb

A3 What an Equals Sign Means

A4 XFunctions Instructions

Table of Contents

Send questions or comments to jwicks@northpark.edu

Glossary