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Whenever you can invert a function, you have that the graphs of and its inverse
are reflected with respect to the line
So, given any point on the graph of , you can simply swap its coordinates to get the correspondent point on the original function
As an example, all exponential functions pass through the point , while all the logarithmic functions pass through the point
Since eleven is odd, there must be a centra element, which in this case is the sixth. So, we can write 11 consecutive integers as
Since the arithmetic mean is the sum of the values, divided by how many they are, we have
So, the mean of 11 consecutive integers is the 6th integer.