Inputs and Outputs of functions
In this lesson, you will learn how to identify the input and output of a functional relationship, including the relevant vocabulary such as independent and dependent variables, domain, and range. By being able to recognize relationships in English, you can better communicate between math and business, making you a more competent and useful employee. You will also learn various ways to express functional relationships in English, such as "output is a function of the input" and "input has an effect on output." Additionally, you will learn about the natural domain of a function and how to restrict the domain to make it more applicable to real-world situations. Practice problems are included to help reinforce the concepts learned in the lesson.
Identify the input and output to a functional relationship including all relevant vocabulary (e.g. independent and dependent variables, domain, range).
Check out www.themathdude.org for more videos.
- Problem Set Solutions - Solutions to the problem set for this lesson.
- Notes - Notes from the lesson.
- Restricted Domains Problem Set - A problem set on restricted domains.
- Restricted Domains Problem Set Solutions - Solutions to the problem set on restricted domains.
- Math Words - Keep this one handy it will give you the definition/explanation to almost any math word/term
- Vertical Line Test - Vertical Line Test explanation and problems
- Problem Set - A problem set for the lesson.
- Notes on Restricted Domains - A document with some notes / explanations of restricted domains.
- What are the definitions of terms relating to functions?
- What is the definition of the input or output of a function?
- How can you identify the input and output of a real-world relationship?
- What are some other words that mean the same thing as input and output in a function?
- What are independent and dependent variables, and how do you know which is which in a function?
- What are the domain and range of a function, and how do you figure them out?
-
Staff Review
This lesson does a great job of showing you how to identify the input and output of a real-world relationship. Other vocabulary terms such as independent / dependent variables, and domain / range are discussed. This lesson serves as an excellent introduction to some basic terminology of functions. Several examples are shown and discussed in this video, and the problem set is very helpful as well.
![[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)
