Getting Power Function given points.

AI Thread Summary
To create an equation from four given points that appear to represent a decaying function, one approach is to consider fitting a polynomial of varying degrees or exploring exponential functions. A suggested functional form is a power function, specifically y = ab^x, which aligns with the notion of decay. By using two of the points, two equations can be established to solve for the constants a and b. This method allows for a best-fit analysis based on the selected function. Ultimately, choosing the right model is key to accurately representing the data.
krnhseya
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Homework Statement



I have 4 points (x and y values) and I was wondering how I can make an equation out of it.
It looks like a decaying function.

Homework Equations



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The Attempt at a Solution



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I absolutely have no idea how to approach this...Sorry.
 
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That's quite an open-ended problem you've got there. You could fit polynomials of degrees 1, 2, 3, or 4 to your data set. And who says it has to be a polynomial? Why not an exponential? My advice would be to pick some functional form, and then try to make a best fit.
 
Since you refer to a "power function" and "decaying function" I would guess that you are looking for a function of the for y= abx. Two values of (x,y) will give two equations to solve for a and b.
 

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