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Step Discontinuity

Step Discontinuity
Jump Discontinuity

A discontinuity for which the graph steps or jumps from one connected piece of the graph to another. Formally, it is a discontinuity for which the limits from the left and right both exist but are not equal to each other.

 

Graph showing a step discontinuity on x-y axes: curve jumps from an open circle (left piece) to a filled dot (right piece).