Exponential Function: Properties and Graph

①This GeoGebra example dynamically displays the graph of an exponential function y=a^x (a>0, a≠1) and systematically lists its core properties: domain, range, monotonicity, parity, periodicity, extrema, convexity, and horizontal asymptote. ②Key mathematical concepts covered include exponential functions, domain and range, monotonicity, even/odd functions, periodicity, extrema, convexity, horizontal asymptotes, and the geometric interpretation of function properties. ③Construction highlights: The example uses GeoGebra commands Intersect and Roots to determine key points, and employs text objects (e.g., tekst1, tekst2) to display step-by-step property statements on the canvas. It also constructs the function f, parameters a, b, c, points A, B, C, and line d, allowing dynamic parameter changes to explore the graph. ④This resource is suitable for high school or pre-university students learning exponential functions, serving as a classroom demonstration or self-study tool to connect algebraic properties with graphical behavior.