Power Functions y=ax^(1/n), n is negative and even
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This example demonstrates the graph of power functions y=ax^(1/n) where n is a negative even number. By adjusting the values of a and n, you can observe how the function graph changes. Key mathematical concepts include the properties and graph characteristics of power functions. GeoGebra commands used include objects n, a, and r. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Numeric n(-6)Numeric a(4)r(x) = (a * x^(1 / n))
AI Drawing Prompt Reference
Draw the graph of the function y=ax^(1/n) where n is a negative even number. Set a to 4 and n to -6, then plot r(x) = (4 * x^(1 / -6)). Observe how the graph changes with different values of a and n.
The prompt above was compiled from the original drawing commands and is for reference only.