Exponential & Logarithmic Functions

Exponential & Logarithmic Functions
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2015-11-12 05:08
This example demonstrates the graphs and properties of exponential and logarithmic functions. It involves core math concepts like exponential growth, logarithmic change, function graph transformations, derivatives, and integrals. Construction highlights include using GeoGebra commands like OrthogonalLine, Intersect, Segment, and objects such as a, p, q, k. Suitable for high school and above learning calculus, function analysis, and real-world applications.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → d
  2. Intersect(c, d, (1, 2)) → B
  3. OrthogonalLine(B, d) → e
  4. Intersect(e, yAxis) → C
  5. Segment(B, C) → g
  6. Segment(B, A) → h
  7. OrthogonalLine(D, yAxis) → i
  8. Intersect(f, i, (2.000000000016698, 1.0000000000120453)) → E
  9. OrthogonalLine(E, i) → j
  10. Intersect(j, xAxis) → F
  11. Segment(D, E) → l
  12. Segment(E, F) → m