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Mapping Diagrams and Graphs for Exponential and Logarithmic Functions

Mapping Diagrams and Graphs for Exponential and Logarithmic Functions
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2016-05-20 03:38
FunctionCalculusGraphing
In collections Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates the mapping diagrams and graphs for exponential and logarithmic functions. It involves core math concepts like exponential functions, logarithmic functions, mapping diagrams, function graphs, derivatives, and definite integrals. Constructed using GeoGebra commands and objects such as Point, Vector, Textfield, and Sequence, it is suitable for high school students and educators to illustrate and understand function properties.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a mapping diagram and graph for exponential and logarithmic functions, including lines connecting source and target points, and function graph points, first draw vertical lines for mapping, then function graphs, finally combine them to show function properties.
The prompt above was compiled from the original drawing commands and is for reference only.