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Seeking suggestions for better class name

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I have this following class in my current game:
class AsymptoticPowerMap:public ParameterMap
	AsymptoticPowerMap(float power):n(power){};
	float Map(float t){return 1-pow(1-t,n);}
	float n;

The name of it leaves much to be desired, so does anyone know what functions of the form implemented by the Map member function are called? The best I could think of was this generic name which describes a couple of its properties, but there are an infinite number of other functions that share those properties. Also, yes, I realise that the default constructor results in a function that is not asymptotic, that's one of the things bugging me, but generally when this class is used n>1 and it is asymptotic.

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