What is a Function? | Domain, Range, and Types of Functions Explained | STEM EdU скачать в хорошем качестве

What is a Function? | Domain, Range, and Types of Functions Explained | STEM EdU

Welcome to STEM EdU! In this comprehensive math lecture, we dive into the fundamental concept of Functions completely from scratch. Whether you are building a strong mathematical foundation for university-level academics, preparing for advanced fields like data science, or simply brushing up on discrete math and calculus basics, this lesson covers everything you need to know. We break down core mathematical terminologies including Domain, Co-domain, and Range, using clear examples and visual mapping diagrams to make complex ideas easy to digest. You'll also learn how to test if a binary relation is a valid function. In the second half of the lesson, we thoroughly explore the Kinds of Functions, complete with step-by-step mathematical proofs and diagrams for: ✔️ Into Functions ✔️ One-One Functions ✔️ Injective Functions ✔️ Onto (Surjective) Functions ✔️ Bijective (One-One & Onto) Functions 📌 Don't forget: If you need a refresher on Binary Relations before starting, check out the pinned comment below for the link to our dedicated video on that topic! If you found this lecture helpful, please Like, Share, and Subscribe to STEM EdU for more high-quality math and science tutorials. Let us know in the comments what topics you'd like to see covered next! #Functions #Mathematics #STEMEdU #DomainAndRange #TypesOfFunctions chapters are; 00:00 Introduction to Functions 00:26 Definition of a Function & Binary Relations 01:41 Example 1: Mapping Set A to Set B 03:30 How to Check if a Relation is a Function 07:51 Terminologies: Domain, Co-domain, and Range 09:06 Venn Diagram Example for Domain, Co-domain & Range 10:46 Kinds of Functions (Overview) 10:54 What is an Into Function? 13:03 What is a One-One Function? 15:31 Injective Functions Explained (Into + One-One) 19:58 Onto Function (Surjective Function) 21:49 Bijective Function (One-One and Onto) 24:23 Conclusion & Outro