Originally Posted by

**ScubaDiver**
Hey Guys

Assume someone draws some arbitrary function on an x-y plane on graph paper.

Is there a way someone can create an actual mathematical function to match the drawing with a great deal of accuracy?

For example, if someone draws a parabola then it can be reasonably appoximated with a function. However, if the drawing looks more strange, then it would be difficult to easily come up with the function.

Maybe there is a way to write the function as a sum of terms. One could keep adding more terms to decrease or increase the value of the function over some specific part.