Easing Functions Demo: Animated Comparison of Mathematical Functions

This GeoGebra example demonstrates a variety of easing functions through dynamic animations, visually comparing how different mathematical functions affect the speed of motion. The core mathematical concepts include linear, quadratic, cubic, quartic, quintic, sine, and piecewise functions, which are used to control the velocity of an animated object, producing effects such as ease-in, ease-out, and ease-in-out. The construction uses GeoGebra commands such as Element, SelectedIndex, LaTeX, Circle, Translate, Rotate, and Segment, along with multiple function objects like inoutquad, inoutcubic, inoutquart, inoutquint, and inoutsine. A slider (Speed) and a selector (chosen) allow users to switch between different easing functions, while points, segments, and circles illustrate the motion path. This example is suitable for high school to university students learning about function graphs, function properties, and the mathematical foundations of animation design, bridging mathematics and computer graphics.