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Exponential Function and Cone Relationship

Exponential Function and Cone Relationship
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2017-02-13 10:18
FunctionCoordinate Geometry
In collections Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates the relationship between an exponential function and a cone. Key mathematical concepts include exponential functions and cones. Using GeoGebra commands such as Point, Vector, Textfield, and Sequence, a dynamic graph of the exponential function and a cone model are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B) → u
  3. Textfield(f) → inputBox1
  4. Sequence((0, k), k, -3, 3) → SourcePtsMD
  5. Sequence((k, f(k)), k, -3, 3) → ExpGraphpts
  6. Vector(A_1, B_2) → v
  7. Sequence((f(k), k), k, -3, 3) → logGraphpts
  8. Vector(B_2, A_2) → w
  9. Sequence(Vector[(0, k), (2, (y_{zoom} * f(k)))], k, -3, 3) → ExpMD
  10. Sequence((2, (y_{zoom} * f(k))), k, -3, 3) → ExpTargPts
  11. Sequence(Vector[(2, k), (4, (y_{zoom} * f(k)))], k, -3, 3) → InvLogMD
  12. Sequence(Vector[(0, f(k)), (2, (y_{zoom} * g(f(k))))], k, -3, 3) → logMD