Inverse of the Exponential Function
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This example demonstrates the inverse of the exponential function, which is the logarithmic function. By constructing both the exponential function and its inverse, students can visually understand their relationship. The Mirror command is used to reflect the function, and the Point command creates key points. Suitable for high school math education, it helps students grasp the concepts of exponential and logarithmic functions.
GeoGebra Commands & Parameters
Point(f) → PMirror(P, g) → A'
AI Drawing Prompt Reference
Draw the exponential function y=e^x and its inverse logarithmic function y=ln(x). First, plot the exponential function y=e^x, then take a point P on its graph, use the mirror command to reflect P across the line y=x to get point A', and finally plot the logarithmic function y=ln(x) passing through A'.
The prompt above was compiled from the original drawing commands and is for reference only.