That implies that only strictly monotonic functions have an inverse that is also a function-for other function, the inverse is only a relation .-- talk ) 23 : 12, 19 May 2009 ( UTC)
2.
Since " f " is injective and continuous, it follows that " f " is a strictly monotonic function, and therefore that the " f "-mean is neither larger than the largest number of the tuple x nor smaller than the smallest number in x.