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Witch of Agnesi Function Model

Witch of Agnesi Function Model
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2018-07-29 00:39
FunctionCoordinate GeometryDerivativeLocusGraphing
This example demonstrates the Witch of Agnesi function, its graph, and properties. Key math concepts include function graphs, derivatives, and analytical geometry. Construction highlights the use of GeoGebra commands like Sequence, Textfield, Derivative, NSolutions, Element, Slider, and Locus. Suitable for high school and above learners to understand function behavior and geometric constructions.

GeoGebra Commands & Parameters

  1. Sequence((i, 1 / ((a * (i^(2) + (b * i) + c)))) + Random[-10, 10] / 10, i, -100, 100, 0.2) → L_1
  2. Textfield(a) → CasillaDeEntrada1
  3. Textfield(z_R) → CasillaDeEntrada2
  4. Textfield(z_I) → CasillaDeEntrada3
  5. Derivative(g) → g'
  6. NSolutions(g') → l1
  7. Element(l1, 1) → x_s