Re: functions problem

Posted by tkt on May 03, 2013; 9:59am
URL: http://discussion-forum.276.s1.nabble.com/functions-problem-tp7580283p7580342.html

sir,
since the function can be constructed in many ways like
f(x)=x(square) + 1, or,
f(x)=3x  + 1, or,
like as you said
f(x) =
 -10 for x ≤ -3
  20 for -3 < x < 3
 10 for x ≥ 3

so, it is not clear if any of the following condition holds true for all f(R)=Q
 f(x) = f(-x) [for even function] or
 f(-x) = -f(x) [for odd function] or
 f(x) ≥ f(x'), given x ≥ x' [for increasing function]

Therefore nothing can be said about it being even or odd.