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The average of a set of numbers is equal to the sum of those numbers divided by the number of numbers. So, one might say that the average function is equal to the sum function divided by the count...
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
In mathematics the difference between a function and a relation is that each X-value in a function only has a single Y-value.
The parent function of the exponential function is ax
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