# Construct function from graph

• Jul 11th 2010, 06:31 AM
Utherr
Construct function from graph
I have a question that sat on my mind for some time and i've always wondered this: is it possible to construct a function from scratch just by viewing a graph (and i'm not talking about simple functions like f(x) = x^2 + 2x +1) knowing some points on the graph, lets say 10 of them? If yes, what's the method called?

I hope you understood my question.
• Jul 11th 2010, 06:59 AM
earboth
Quote:

Originally Posted by Utherr
I have a question that sat on my mind for some time and i've always wondered this: is it possible to construct a function from scratch just by viewing a graph (and i'm not talking about simple functions like f(x) = x^2 + 2x +1) knowing some points on the graph, lets say 10 of them? If yes, what's the method called?

I hope you understood my question.

Maybe this will help: Spline interpolation - Wikipedia, the free encyclopedia
• Jul 11th 2010, 07:36 AM
HallsofIvy
Note, however, that given any finite number of data points, there exist an infinite number of functions (or continuous functions or polynomial functions) passing through those points. The spline interpolation earboth gives a relatively simple, accurate method.