SOLUTION: find the rule of the mapping: 0-1 1-1 2-4 3-27 4-256 5-3125

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Question 564379: find the rule of the mapping:
0-1
1-1
2-4
3-27
4-256
5-3125
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^x is probably what they're looking for. Technically, there are infinitely many functions that satisfy those points, since f could be any random function that happens to contain (0,1), (1,1), ... (5,3125) as points. However the simplest function that describes the data is f(x) = x^x.