Average Rate of Change: Graph a Function (1)

This interactive GeoGebra example demonstrates the concept of average rate of change for a function over an interval, showing how the slope of the secant line changes as the interval endpoints move. Core mathematical concepts include average rate of change, secant line slope, and their geometric interpretation on a function graph. Construction highlights: the PointIn command places points on the function curve, FitPoly fits a polynomial, Line constructs the secant, Random generates random values, Sequence creates point lists, FractionText displays the slope as a fraction, and If checks correctness, with buttons and text boxes providing interactive feedback. Suitable for high school or pre-calculus students learning rates of change and an introduction to derivatives, as well as for classroom demonstrations or self-paced exploration.