MATHEMATICAL SIMULATION
Function Plotter
Model note: the visible window clips values outside the plotted range.
INTERACTIVE LABORATORY
Model note: the visible window clips values outside the plotted range.
Magnitude = √(x² + y²) = 3.61
Each run varies. Convergence toward 50% is expected over many fair trials, not guaranteed in any one sample.
For f(x)=x², the local slope f′(x)=2x is 2.0.