Power Functions y=ax^(1/n) with Negative Odd n

① This example demonstrates the graphs of power functions y=ax^(1/n) when the exponent n is a negative odd integer, showing how the domain, monotonicity, and asymptotic behavior change as n takes values like -1, -3, -5. ② Core mathematical concepts include power functions, fractional exponents, negative exponents, odd function properties, inverse-proportional-like curves, and the vertical scaling effect of parameter a. ③ Construction highlights: GeoGebra sliders for n and a allow dynamic adjustment, while r serves as an auxiliary variable to control the plotting range or auxiliary points; the construction summary lists objects n, a, and r, with n and a as sliders and r likely defining the drawing interval or helper points. ④ Suitable for high school or pre-university students learning power and exponential functions, and useful for classroom demonstrations or student-led exploration of how parameters affect function graphs.