Saturday, September 3, 2016

vector spaces - Linear Functions Has Dense Graph

Assume a function $f : R → R$ that is Q-linear, but not R-linear. Prove the graph of this function is dense in $R^2$.



I don't really understand what r/q linear is and I know the theorem that every Q-linear function is discontinuous if and only if it has dense graph but i am not sure if it helps here.

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