Relations and Functions 1
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Lesson Summary:
In this lesson, you'll learn about relations and functions and the various ways they can be expressed, such as through tables, graphs, and ordered pairs. The domain and range of a relation are defined as the set of inputs and outputs, respectively. Additionally, you'll learn about the basics of a function, where each input always produces exactly one output. This video is a great place to start if you're new to the topic of relations and functions.
Lesson Description:
Definition of Relation and Function, and ways to express them.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is a relation?
- What are some representations of relations?
- How do you draw a picture of a relation with inputs and outputs?
- How do you write a relation as a set of ordered pairs?
- How can you make a table of values for a relation?
- How can you describe a relation in words?
- How can you make a graph for the values of a relation?
- What is the domain and what is the range of a relation?
- How do you state the domain and range of a relation?
- What is the domain and range of a graph with ordered pairs?
- What is a function?
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Staff Review
This lesson is a very basic introduction to relations. The purpose of this lesson is to show you what a relation is, show several methods of representing a relation, and explain some characteristics of a relation. These concepts will be used in the coming videos to explain when a relation is a function. First, however, the basics must be learned in this video. At the end of this lesson, a function is introduced.
![[C.4] Enter Function Expression into Y= preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa1VIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--2fb61a0551e702d5389bb80ce3c6049261f90062/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.4%5D%20enter%20function%20expression%20into%20y=.jpg)
![[C.5] Making a Table of Ordered Pairs preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa1lIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--a21f33d7be29a692959612c01a54737825afb8de/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.5%5D%20making%20a%20table%20of%20ordered%20pairs.jpg)
![[C.6] Useable Graph preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa2NIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--227b7897e0ddf92b27c73f224c80500a89bbe11f/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.6%5D%20useable%20graph.jpg)
