Inverse Graphs: Logarithm and Exponential Functions

①This GeoGebra example demonstrates the inverse relationship between logarithmic and exponential functions, showing their graphs as reflections across the line y=x. ②Core mathematical concepts include inverse functions, the mutual invertibility of exponentials and logarithms, symmetry transformations, and the effect of horizontal/vertical shifts (h, k) on graph positions. ③Construction highlights: the Invert command is applied to functions f and g, with parameters a, b, h, k controlling the base and translations; sliders allow dynamic exploration of parameter changes. ④Suitable for high school students learning inverse functions, as well as introductory calculus courses, providing a visual foundation for understanding function inversion and its geometric interpretation.