This should be a dead simple answer, but I don't know what this is called, or what to search on...(adsbygoogle = window.adsbygoogle || []).push({});

I need a function of x such that:

0 <= x <= 1

Where f(0) = 0, and f(1) = infinity.

I also need the curve to be relatively flat for "lower numbers", say up to 0.3, and begin a very sharp curve towards infinity around 0.8 or so.

A direct answer would be fine, but references would be just as welcome; I don't mind reading, just don't know where to point my browser at this point.

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# Need f(x) for

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