Image: HomogeneousDiscontinuousFunction
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Description: An example that shows that a homogeneous function does not have to be continuous. This is the function f defined by f(x,y)=x if xy>0 or f(x,y)=0 otherwise. It is homogeneous of order 1, i.e. f(a*x,a*y)=a*f(x,y). It is discontinuous at y=0, x=/=0.
Title: HomogeneousDiscontinuousFunction
Credit: Own work This diagram was created with Mathematica
Author: Sbyrnes321
Usage Terms: Creative Commons Zero, Public Domain Dedication
License: CC0
License Link: http://creativecommons.org/publicdomain/zero/1.0/deed.en
Attribution Required?: No
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