Cubic Function Through 4 Points

This example demonstrates how to determine a cubic function that passes through four given points. The core mathematical concepts include polynomial functions, interpolation, and solving systems of equations. Using GeoGebra's Polynomial command, the cubic function g is constructed based on the coordinates of four control points A, B, C, D, with the corresponding function expression displayed in LaTeX format. Learners can drag points A, B, C, D to change their positions and observe the dynamic changes in the cubic function graph. This example is suitable for high school mathematics courses, serving as an introduction to polynomial functions or as preparation for calculus studies.