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Fun with Functions and Relations

Fun with Functions and Relations
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2015-12-28 08:32
CircleFunctionCoordinate Geometry
In collections Fun with Functions
This applet illustrates the difference between a relation and a function using common shapes like circles and semicircles. It covers key mathematical concepts such as the definition and properties of functions. Using GeoGebra commands like Element, Point, Vector, etc., it allows for dynamic exploration of these concepts. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Element(flist, nf) → g
  2. Point(xAxis) → A
  3. Vector(A, B) → u
  4. Vector(B, C) → v
  5. VerticalText(text5) → text6
  6. Defined(fxa) → fcnDefined
  7. Conic(E_7, F_7, G_7, H_7, I_7) → c
  8. OrthogonalLine(A, xAxis) → b
  9. Intersect(c, b) → J_7, K_7
  10. Vector(A, K_7) → w
  11. Vector(A, J_7) → d
  12. Vector(J_7, Y_2) → h
  13. Vector(K_7, Y_1) → i
  14. Intersect(e, b) → F, G
  15. Vector(A, G) → a
  16. Vector(G, Yg) → j
  17. Vector(A, F) → k
  18. Vector(F, Yf) → l
  19. Intersect(f, b) → H, I
  20. Vector(A, I) → m
  21. Vector(I, Yi) → n
  22. Vector(A, H) → p
  23. Vector(H, Yh) → q