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It is an inverse function of a derivative, also known as an integral.
The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.
The inverse function means the opposite calculation. The inverse function of "add 6" would be "subtract 6".
Range
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.