Cartesian Plot of a Function
In this lesson, you will learn how to represent a function on a Cartesian plot, including the necessary vocabulary and rules. You'll also learn how to interpret a Cartesian graph to answer questions about a given function, including evaluating and solving for specific inputs and outputs. The lesson emphasizes the importance of clear labeling and scaling of the axes, as well as the use of defined symbols for the input and output variables. Overall, this lesson is an essential foundation for understanding and interpreting graphs in math and science.
Know and understand the rules of representing a function in a Cartesian plot including relevant vocabulary. Understand when a Cartesian plot is indicating a relationship is not functional.
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- Notes - Notes from this lesson.
- Example Plot 1 - An example of a cartesian plot of a real-world function.
- Example Plot 2 - Another example of a cartesian plot of a real-world function.
- Vertical Line Test - Vertical Line Test explanation and problems
- Bio of Rene Descartes - Rene Descartes - the father of the coordinate system
- Cartesian Coordinate System - An explanation of the Cartesian Coordinate System
- Who is Rene Descartes?
- What is the Cartesian Coordinate System?
- Where did ordered pairs and Cartesian coordinates come from?
- What are the quadrants of a Cartesian coordinate graph?
- How do you know which variable goes on which axis of the Cartesian coordinate graph?
- How can a graph help you see the relationship in a set of data?
- How do you solve a function at a given value using a graph?
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Staff Review
The lesson explains the idea of the Cartesian Coordinate System, where it came from, and what it means to functions. The explanation in this video starts from very basic concepts and builds up the idea of a Cartesian coordinate graph. A couple of really nice plots of real-world functions are included as resources also.
![[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)
