A continuous function g: Q x Q --> R such that g(0,0)=0 and g(1,1)=1, but there does not exist any x,y\in Q such that g(x,y)=1/2
Mean value theorem?
The Attempt at a Solution
I want to say no, because I'm sure there's something going on because the domain is not R x R....but I can't put my finger on it. Any advice?