Fixing the logistic function to do nonlinear interpolation @XTrumpet63X

Uploaded November 2022 | Updated September 2026, 22 minutes ago

The logistic function has that nasty asymptote problem, which makes it impossible to use for animation. I show how to fix it, using Desmos for my visualizations.

Here's the final, simplified function in Latex: \frac{y_{max}e^{kx_{center}}\left(e^{kx}-1\right)}{\left(e^{kx_{center}}-1\right)\left(e^{kx}+e^{kx_{center}}\right)}

Here's the Desmos link: desmos.com/calculator/tmt5a50yc0

$Fixing the logistic function to do nonlinear interpolation The logistic function has that nasty asymptote problem, which makes it impossible to use for animation. I show how to fix it, using Desmos for my visualizations. Heres the final, simplified function in Latex: frac{y_{max}e^{kx_{center}}left(e^{kx}-1right)}{left(e^{kx_{center}}-1right)left(e^{kx}+e^{kx_{center}}right)} Heres the Desmos link: https://www.desmos.com/calculator/tmt5a50yc0$

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Fixing the logistic function to do nonlinear interpolation