Power Function with Even Negative Exponent

This example demonstrates the graph of a power function with an even negative exponent, such as y = x^(-2) or y = x^(-4). The core mathematical concepts include power functions, negative exponents, even function symmetry, and asymptotic behavior. The construction uses GeoGebra to define the function object f and a text object text1 to display the function expression or key information. The graph exhibits a hyperbolic shape symmetric about the y-axis, approaching zero on both sides but never touching the axes, with a vertical asymptote at x=0. This resource is suitable for high school or introductory college students learning about power functions, exponent rules, and graph transformations, and can be used to explore how negative exponents affect monotonicity and range.