Chapter 7 Functions
Demonstrate that two functions are equal.
Evaluate the composite of two functions.
Recognize the identity function on a set.
Recognize whether a function is invertible or not.
Demonstrate that a function is the inverse of another function.
Just like sets, functions are a basic and important idea in mathematics. Functions give us a tool for manipulating numbers and other data and for switching between different representations of objects.
In this chapter we introduce functions and their properties. We encounter some special functions, create new functions as composites of other functions, and consider invertible functions, which we will use in the following sections to switch between different representations of data.