Introduction to definitions that are a combination of various functions or relations, each over a specific domain. Such definitions are called piecewise functions or relations. Shows how a piecewise definition can define a "smiley face" .

## Domain, Range, and Codomain of a Function

Explanation of the terms "Domain", "Range", and "Co-Domain" of a function. These concepts provide a critical foundation for analyzing and graphing any function.

## Function Translations: How to recognize and analyze them

How to determine both vertical and horizontal translation factors (relative to a "parent function") when looking the definition of a function.

## Function Notation

Function notation: why it is needed, how to interpret it, and what some common operations would look like if defined using function notation.