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Given a PRF E:K times { 0 , 1 } ^ n - > { 0 , 1 } ^ m , we construct

Given a PRF E:K\times {0,1}^n->{0,1}^m, we construct F:K\times {0,1}^(n-1)->{0,1}^2m as follows:
F(K,x):=E(K,x||0)||E(K,x||1).
Is F(K,) still a PRF? If yes, give a brief proof, if not, give a brief attack showing the violation of PRF definition.

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