Monday, May 21, 2018

Prelude on functions and graphs

This short video is a prelude to the next near-numbers video proper; it's a quick review of functions, focusing on how to properly use the graphs of real-valued functions. After this video, you in principle know how to apply a function to a near-number as well:

  • put your input near-number on the domain axis, 
  • push those points up to the graph, 
  • push them over to the codomain axis, 
  • then let your near-number squeeze to see the result!. 
We'll go through this for a bunch of important examples in the next video (it might take a while to produce, as the animations for functions are a bit involved!), but for now, here's the prelude:

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