Power Functions y=ax^n with Negative Odd Exponent

①This example demonstrates the graph of power functions y=ax^n when n is a negative odd integer, showing hyperbolic branches, asymptotes, and the effect of varying the coefficient a. ②Core mathematical concepts include power functions, negative exponents, odd function symmetry, reciprocal functions (when n=-1), and graph transformations. ③Construction highlights: sliders for parameters n and a are used to dynamically adjust the exponent and coefficient, allowing real-time observation of graph changes; the construction summary lists objects n, a, r (likely auxiliary), emphasizing interactive parameter control. ④Suitable for high school students learning power functions, graph transformations, or properties of elementary functions, as well as for teacher demonstrations or student self-exploration to understand domain, range, monotonicity, and symmetry of negative-exponent power functions.