Interactive Exercise on Logarithmic Functions with Random Scatter Plot

①This example demonstrates an interactive math exercise that combines random number generation, scatter plots, and logarithmic function graphs, allowing users to adjust parameters via input boxes and observe the relationship between the function and data points. ②Core mathematical concepts include logarithmic functions, random numbers, scatter plots, algebraic expressions, and the comparison of function graphs with data points. ③Construction highlights: using GeoGebra commands Random and RandomElement to generate random data points, Textfield and InputBox for interactive input, TableText to display data tables, and constructing multiple objects (such as a, b, c, f, g, h) to define functions and parameters, resulting in a dynamic adjustable exercise environment. ④Suitable for high school or pre-university students to understand properties of logarithmic functions, random data distribution, and the connection between algebra and graphs, also useful as a classroom interactive activity or self-study tool.