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Math Help - Construct function from graph

  1. #1
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    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.
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  2. #2
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    Quote Originally Posted by Utherr View Post
    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
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  3. #3
    MHF Contributor

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    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.
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