A theorem states that if f is continuous on an interval I that contains one local extremum at c and if a local minimum occurs at c, then f(c) is the absolute minimum off on I, and ifa local maximum occurs at c, then f(c) is the absolute maximum off on I. Verify that the following function satises the conditions of this theorem on its domain. Then, nd the location and value of the absolute extremum guaranteed by the theorem. f(x)=xe\"\"2 The function f(x) = x z _ \"2 has an absolute extremum of 1 at x = (Type exact answers)