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Exponential and Logarithmic Functions by abdelkader dendane (2)

Exponential and Logarithmic Functions by abdelkader dendane (2)
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2015-06-01 18:00
FunctionTrigonometryCoordinate GeometryGeometric ConstructionGraphing
This example demonstrates the graphs and properties of exponential and logarithmic functions. It involves core math concepts like exponential functions, logarithmic functions, function graph transformations, linear equations, and interest calculations. GeoGebra commands used include Invert (inverse function), LaTeX (text formatting), Point (creating points), OrthogonalLine (creating perpendicular lines), and Intersect (finding intersections). Suitable for high school mathematics teaching to understand function graphs and properties.

GeoGebra Commands & Parameters

  1. Invert(f) → g
  2. LaTeX(f, true, true) → text1
  3. LaTeX(g, true, true) → text2
  4. Point(a_1) → A
  5. OrthogonalLine(A, a_1) → b
  6. Intersect(f, b, (-2.7895671152583974, 0.0695671152524512)) → B
  7. Intersect(g, b, (0.06956711524591076, -2.789567115356791)) → C

AI Drawing Prompt Reference

Draw the graphs of exponential and logarithmic functions, including their inverse functions. First, draw the exponential function, then its inverse function. Next, take a point on the exponential function and draw a line perpendicular to it. This line intersects the exponential function at point A and the inverse function at point B. Finally, find the intersection of this line with the inverse function at point C.
The prompt above was compiled from the original drawing commands and is for reference only.