Mathematical Function Visualization: Exponential Decay Curve Over Rainbow Gradient #267253 (License: Personal Use)

This image visualizes a mathematical function where y is computed as ((√5 - 1)/2) raised to the power of (x/90), then multiplied by 2000-yielding a smooth exponential decay curve across 256 sampled points. The background uses a full-spectrum rainbow gradient to represent value intensity, while green arrows denote the x- and y-axes directions and a gray triangle marks the origin. A black curve overlays the gradient, tracing the function’s output.

Used in educational or technical web pages explaining exponential functions, golden ratio applications, or data visualization techniques; matches user intent for understanding mathematical plotting, algorithmic graphics, or STEM learning resources.