Prove that a) f(0) = 0 b) f(n) = nf(1). Let f be a real function...

  

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Prove that a) f(0) = 0 b) f(n) = nf(1). Let f be a real function such that, for x, y R, f(x+y)= f(x)+ f(y). Prove that a) f(0) = 0 b) f(n) = nf(1). Let f be a real function such that, for x, y R, f(x+y)= f(x)+ f(y).