B bearej50 New member Joined Feb 16, 2009 Messages 21 May 7, 2009 #1 Suppose f : [a, b] ? R is continuous and that f([a, b]) is a subset of Q. Prove that f is constant on [a, b].
Suppose f : [a, b] ? R is continuous and that f([a, b]) is a subset of Q. Prove that f is constant on [a, b].
stapel Super Moderator Staff member Joined Feb 4, 2004 Messages 16,550 May 8, 2009 #2 I think a contradiction proof would probably be the way to go, using the epsilon-delta definition of continuity.
I think a contradiction proof would probably be the way to go, using the epsilon-delta definition of continuity.
