Dynamically-Generated Piecewise-Defined Function Graphing Examples

Start with these examples and explore variations on the results:
Discover characteristics of piecewise functions that are not possible with single-formula functions.

This function is discontinuous at x=0 because the left and right hand limits as x→0 do not equal the value of the function, 1. The discontinuity is called removable because the discontinuity can be removed by redefining f at x=0.


Essential discontinuity; left continuous


Essential discontinuity; right continuous


 

 
 

 

 

 

       

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United States Patent Numbers 7,432,926 B1 & 7,595,801 B1.
Other Patent Pending.
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