Secant Line and AROC
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Part of video series
Lesson Description:
Be able to explain how average rate of change of a function corresponds to the secant line on a Cartesian plot of that function.
Check out www.themathdude.org for more videos.
Additional Resources:
- Secant Line - Explanation and picture of what a secant line is
- Secant Java Applet - Interactive secant and tangent line Java applet
- Another Secant Line Applet - Another secant java applet where you can control the interval
- Last Secant Line Applet - One more secant java applet where you can specify the function
- Speed and Acceleration in Business Notes - Notes about speed and acceleration in business
- Speed and Acceleration in Business Problem Set - Problem set about speed and acceleration in business
- Linear Approximate Rate Notes - Notes about linear approximations of rates
- Acceleration a Formula - Function - Mini Project - Mini Project about Estimating Future Sales â From Function to Equation to Formula
- Linear Extrapolation Notes - Notes about linear extrapolation
- Linear Extrapolation Problem Set Solutions - Solutions to the Linear Extrapolation problem set
Questions answered by this video:
- What is a secant line?
- What is AROC or average rate of change and how do you find it?
- How do you draw an average rate of change line for a curve?
- How do you find the slope of the secant line from the beginning to the end of a curve?
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Staff Review
This lesson explains average rate of change from the beginning to the end of a time period for the graph of a relation. The average rate of change graph is a line with constant velocity or slope. This concept is explained very well and has many different resources to supplement the video.
![[C.1] AROC - Part 1 - in a table preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBZ2tEIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--e79e521e15ef32e2e988ae76ea308935bce765d8/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.1%5D%20aroc%20_%20part%201%20_%20in%20a%20table.jpg)
![[C.1] AROC - Part 2 - with difference quotient preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBbG9IIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--0c4a8732d9308a5382d55230f4e975b1a437c17c/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.1%5D%20aroc%20_%20part%202%20_%20with%20difference%20quotient.jpg)
