3. Is there a real-valued function Af, defined on the space of the functions, continuous on [0,1], such that f(x)≤g(x) andf(x)≡g(x) inply Af<Ag? Is this also true if the functions f(x) are required to be monotonically increasing (rather than continuous) on [0,1]? (R.4) functionreal analysiscollege contests