Concept of Continuity

Concept of Continuity
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2015-08-09 19:19
This example illustrates removable and non-removable discontinuities of functions. By adjusting parameters, different types of discontinuities can be observed. It uses commands like Random and RandomElement and is suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Random(1, 2) → cutoff
  2. RandomElement({x - 1, 2 - x, (-x^(2)) + (3 * x) - 1, (-x^(2)) + (4 * x) - 2}) → f1
  3. RandomElement({x^(2) - 3, x^(2) - (3 * x) + 3}) → f2

AI Drawing Prompt Reference

Draw a function graph showing removable and non-removable discontinuities. Adjust parameters to observe different types of discontinuities. The graph should include function curves and discontinuity markers. Construct the graph by starting with the function definition, then adding discontinuity points.
The prompt above was compiled from the original drawing commands and is for reference only.