I was bored at work (as usual ) and tried to do a math problem. I had to figure out what the function was.

f(1) = 23
f(2) = (other number, im just making these up)
f(4) = ...

Anyways, I solved it by changing it to

a(1^2) + b(1) + c = 23
a(2^2) + b(2) + c = ...

etc.
Anyways, I thought about it afterwards, and was jsut wondering if I need a max of an xth degree polynomial (assuming that's spelled right, french math here) where x is the number of points given (there were 3 in this example).

(need a constant for one point, a first degree for 2 (mx + a), etc)