Question: Let L be a differentiable function for all x. Prove that if L(a + b) = L(a) + L(b) for all a and b, then

Let L be a differentiable function for all x. Prove that if L(a + b) = L(a) + L(b) for all a and b, then L'(x) = L'(0) for all x. What does the graph of L look like?

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