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Positive Power Functions

Positive Power Functions
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2016-11-04 04:05
FunctionCoordinate GeometryGraphing
This example demonstrates the graphs and properties of positive power functions. Key math concepts include functions, power functions, exponents, reflections, parallelograms, and step functions. It uses GeoGebra commands like Random, RandomElement, If, along with objects such as reset, n, ymin, ymax, xmax, a, xmin, text elements, and more to construct the visualization. Suitable for high school mathematics education to explore the behavior of power functions and their transformations.

GeoGebra Commands & Parameters

  1. Random(2, 9 + If[reset, 0, 0]) → n
  2. RandomElement(KeepIf[x ≠ 0, Sequence[i, i, ymin + 2, ymax - 2 + If[reset, 0, 0]]]) → a
  3. Random(xmin + 1, xmax - 1 + If[reset, 0, 0]) → h
  4. Random(ymin + abs(a), ymax - abs(a) + If[reset, 0, 0]) → v
  5. If(Mod[n, 2] ≟ 0, 1, -1) → eo