Power Functions y=ax^n Graph (n Positive Odd)

Power Functions y=ax^n Graph (n Positive Odd)
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2016-08-01 11:20
This GeoGebra example demonstrates the graph of power functions y=ax^n where n is a positive odd integer. Key mathematical concepts include power function properties, symmetry about the origin, and the effect of coefficient a on scaling and orientation. Construction involves using variables n, a, and r as sliders in GeoGebra to dynamically adjust parameters and observe real-time changes in the curve across quadrants I and III. Suitable for high school or college students studying algebra and calculus, this tool aids in visualizing how odd exponents influence function behavior and graph shape.

GeoGebra Commands & Parameters

  1. Numeric n(5)
  2. Numeric a(1)
  3. r(x) = (a * x^(n))