How to obtain an equation for this grapgh?

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Homework Statement


i am doing my Honor project and i have obtained a graph like the picture below,now i must give an equation for this graph,any ideas how i can obtain an equation which is compatible with this graph?
thanks
 

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i have an idea about this,it seems they are like Cosine functions with different amplitudes,but what can be an equation for it?
 
Possibly. It might, for example, be y= aebxcos(cx). See if you can find a, b, and c by letting x and y be coordinates of three points on your graph. And then, check to see if they work for other points on the graph.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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