# Functions and Relations Handouts

Chapter 1

Sets of Numbers and Number Lines

Chapter 1.1     Relations and Functions

Chapter 1.2     Function Notation

Chapter 1.3 and 1.4     Exploring Properties of Parent Functions and Determining the Domain and Range of a Function

Chapter 1.5     The Inverse Function and Its Properties

Chapter 1.6, 1.7 and 1.8     Exploring Transformations of Parent Functions, Investigating Horizontal Stretches, Compressions and Reflections, and Using Transformation to Graph Functions of the Form y = a f [ k (x - d) ] + c

Chapter 2

Chapter 2.4     Simplifying Rational Functions

Chapter 2.5     Exploring Graphs of Rational Functions

Chapter 2.6     Multiplying and Dividing Rational Expressions

Chapter 2.7     Adding and Subtracting Rational Expressions

Chapter 2 Review Questions

Chapter 3

Chapter 3.2     Determining Maximum and Minimum Values of a Quadratic Function

Chapter 3.3     The Inverse of a Quadratic Function

More Quadratic Word Problems like those from Chapter 3

Chapter 4

Chapter 4.3     Working with Rational Exponents

Chapter 4.4     Simplifying Algebraic Expressions Involving Exponents

Chapter 4.5     Exploring the Properties of Exponential Functions

Chapter 4.6     Transformations of Exponential Functions

Chapter 4.7     Applications Involving Exponential Functions

More Exponential Word Problems like those from Chapter 4.7

More Exponential Word Problems 2                     (Exponential Word Probs and Test Rev.doc on my memory stick)

Graphing Reciprocal Functions

Graphing Reciprocal Functions:  First Principles

Graphing Reciprocal Functions

Graphing Reciprocal Functions where the Denominator is a Quadratic

Chapters 5 and 6
- Trigonometry

* - Note that the section on Trigonometry does not follow closely with the textbook.

Winding Function and Winding Function Extended

Graphing Periodic Functions 1

Graphing Periodic Functions 2

Periodic Functions Word Problems Handout (Ferris Wheel Questions)

Sine Law and Cosine Law

Sine Law and Cosine Law Word Problems Worksheet

Solving Triangles with the Sine Law and Cosine Law

Trig Identities

Trig Sidenote:  Your textbook, and many other textbooks, teach a method of dealing with triangles using a method called the CAST rule and a concept known as .                          related acute angles.  We won't use that method, because I believe that the winding function method and extended winding function method is      .                          much more efficient.  However, if you wish to explore the CAST rule and related acute angle method, there's a handout for it here.

Chapter 7

Chapter 7.2     Geometric Sequences

Chapter 7.3 and 7.4     Recursive Sequences

Chapter 7.5     Arithmetic Series

Chapter 7.6     Geometric Series

Chapter 8

Chapter 8.2 and 8.3     Compound Interest: Future Value and Present Value

Chapter 8.4 and 8.5     Annuities: Future Value and Present Value

Non-Simple Annuities

Exam Review

Exam Review