Building the Graph of a Function
This animation introduces the graph of a function using a coordinate plane. It plots several points (x, f(x)) one by one, showing how each input-output pair corresponds to a location in the plane. As more points are added, they progressively connect into a smooth curve, revealing how the full graph represents every possible value of the function. Useful for students first learning function notation and graphical representation in algebra or precalculus courses.
16:9 · every frame verified for overlaps, spacing and edges before rendering
The prompt that made it
Explique de façon visuelle et progressive le concept de courbe représentative d’une fonction, avec un repère, plusieurs points $(x,f(x))$, puis la construction progressive de la courbe
Make the next one in this series
- Show how changing f(x) to f(x)+k shifts the entire curve vertically
- Compare the graphs of linear, quadratic, and cubic functions on the same axes
- Illustrate how the slope between two points on a curve relates to average rate of change
