Re: functions problem

Posted by Sinistral on May 03, 2013; 10:16am
URL: http://discussion-forum.276.s1.nabble.com/functions-problem-tp7580283p7580347.html

the way you defined f got me confused. what I understand is f: R --> Q
In that case, f can be continuous only if it is a constant function ie if f(x) = k , x ∈ R & k ∈ Q.

So automatically f becomes an even function.
did I miss something?

this ques raised a (silly) doubt in my mind: are constant functions increasing/decreasing? (though they are definitely not strictly increasing/decreasing).?