Lecture 12 | Introduction to Functions & Function Notation | Domain, Range, and Graphs

What is a function? In this lecture, we define the fundamental building blocks of algebra: functions and relations . Learn how to identify the domain and range, use formal function notation, and evaluate functions from equations, tables, and graphs . We also explore the Vertical Line Test to identify functions and the Horizontal Line Test to determine if a function is one-to-one . Plus, we introduce the "Toolkit Functions"—the basic parent functions every math student needs to know by heart . ___________________________________________________________________________ This video is based on open educational resources, including materials from publicly available academic textbooks. I do not claim ownership of any original textbook content, figures, or structured materials referenced in this video. This content is explanation of the topic in simplified form, intended to help students understand the concepts in a more intuitive and accessible way. This video is not a substitute for the original textbooks and is not intended to infringe on any copyright. All credit goes to the respective authors and publishers.