Algebra II Essentials For Dummies

Chapter 5

Forging Function Facts

IN THIS CHAPTER

Defining functions, domain, and range

Identifying one-to-one functions and even versus odd functions

Using function composition in the difference quotient

In algebra, the word function is very specific. You reserve it for certain math expressions that meet the tough standards of input and output values, as well as other mathematical rules of relationships. Therefore, when you hear that a certain relationship is a function, you know that the relationship meets some particular requirements. In this chapter, you find out more about these requirements. I also cover topics ranging from the domain and range of functions to the inverses of functions, and I show you how to perform the composition of functions. After acquainting yourself with these topics, you can confront a function equation with great confidence and a plan of attack.

Describing Function Characteristics

A function is a relationship between two variables that features exactly one output value for every input value — in other words, exactly one answer for every number inserted ...