Hey guys, I have learned that for a function f defined on an open interval I(a, b), an absolute extremum may not occur. Is this because the domain may take on every value greater than a or less than b without ever equaling a or b? [EDIT] Disregard the question above. I just realized. For a function such as f(x) = x2, there is no absolute maximum because as x increases, f(x) increases indefinitely.