What Is a Function? Learn Domain, Range, and Relations with Real Life Graphs!

In this video, we break down the fundamentals of functions, domain, and range, guiding you through key concepts using simple examples and real-world applications. Learn how to determine if a relation is a function, how to find domain and range from ordered pairs, and how to apply domain restrictions in meaningful contexts.

This lesson aligns with:

CCSS.MATH.CONTENT.HSF.IF.A.1 – Understand that a function assigns exactly one output to each input and how to represent this using equations and graphs.

CCSS.MATH.CONTENT.HSF.IF.B.5 – Relate the domain of a function to its graph and to real-world scenarios, such as manufacturing limits or time-based situations.

Topics include:
Identifying functions from sets of ordered pairs
Writing functions from word problems
Determining domain restrictions involving division and square roots
Using graphs to understand domain and range
Great for Algebra 1, high school review, and anyone looking to understand how math applies to everyday situations.

Time Stamps:
00:00 - Intro
00:26 - Identify Domain and Range
02:25 - Determine if a Relation is a Function
03:10 - Domain in a Real-Life Context
04:33 - Write a Function and State Its Domain
05:59 - Domain Restrictions from Division
07:07 - Summary
07:22 - Includes a bonus question at the end to extend learning and reinforce the concepts taught in the video.

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