I can define a curve that passes through 3 points using a quadratic equation:
ax2 + bx + c = 0
I would like to know is it possible to define a curve that passes through 4 points using:
ax3 + bx2 + cx + d = 0
Cheers
I can define a curve that passes through 3 points using a quadratic equation:
ax2 + bx + c = 0
I would like to know is it possible to define a curve that passes through 4 points using:
ax3 + bx2 + cx + d = 0
Cheers
The answer was already in the comments upon migration: Use a Lagrange polynomial. The restriction "in most cases" is unnecessary; the Lagrange polynomial is completely general and yields a polynomial which interpolates the points as long as no two of them have the same $x$ coordinate; if they do, there can be no univariate function, polynomial or otherwise, that interpolates them.