> Polynomials are unbounded at the extremes, and as such should really only be trusted for interpolation, not extrapolation. Very well noted. There's also thi

> Polynomials are unbounded at the extremes, and as such should really only be trusted for interpolation, not extrapolation. Very well noted. There's also this, which is usually taught in second year engineer "numerical calculus" and again extensively studied in graduate programs involving [something numbers inside computers something]: https://en.wikipedia.org/wiki/Runge's_phenomenon https://en.wikipedia.org/wiki/Runge's_phenomenon