Hi Henry Z.,
So draw f(x). Start at x=7; obviously the function graph is horizontal right there, at that point. But, that says nothing about what happens on either side! x=7 could be an inflection point, or maybe simply f(x) = c across the whole domain. Or various combinations, such as flat on one side for a while, then parabolic, etc., etc.
-- Cheers, --Mr. d.