Exponential Function y = a^x
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This example demonstrates the graph and properties of the exponential function y = a^x. It covers key mathematical concepts such as the definition of the exponential function, its graph characteristics, and how the parameter a affects the graph. Using GeoGebra commands If, objects a, f, b, k, p, g, h, text5, text6, text7, text8, text9, text4, text3, text2, text1, it dynamically shows the changes in the graph of the exponential function. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
If(b, -1, 1) → kIf(b, 4^((-x)), 4^(x)) → pIf(b, 2^((-x)), 2^(x)) → gIf(b, 3^((-x)), 3^(x)) → h
AI Drawing Prompt Reference
Draw the graph of the exponential function y=a^x, showing how the parameter a affects the graph. Include three branches for a values -1, 4, and 2, and another for a=3, dynamically displaying the changes in the function's graph for different a values.
The prompt above was compiled from the original drawing commands and is for reference only.