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Basic Radical Functions by Taeil Yi

Basic Radical Functions by Taeil Yi
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2016-11-04 04:03
FunctionCoordinate GeometryInequalityGeometric ConstructionGraphing
This example demonstrates the graphs and properties of basic radical (root) functions, such as square roots. It involves core math concepts like functions, root operations, coordinate geometry, exponents, and inequalities. Construction highlights include using GeoGebra commands like Random, RandomElement, If, along with objects like reset, n, ymin, ymax for dynamic graph generation. Suitable for high school mathematics teaching to understand function transformations and radical function characteristics.

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

AI Drawing Prompt Reference

Draw graphs of basic radical functions like square roots, showing their properties with dynamic random parameters, coordinate geometry, and inequalities, highlighting function transformations and radical characteristics, by first defining core parameter ranges, then generating function graphs and key points, finally adjusting directions based on parameter parity.
The prompt above was compiled from the original drawing commands and is for reference only.