Suppose f is non-decreasing with

f(x+y) = f(x) + f(y) + C for all real x, y.

Prove: there is a constant A such that f(x) = Ax - C for all x. (Note: continuity of f is not assumed in advance.)

Suppose f is non-decreasing with

f(x+y) = f(x) + f(y) + C for all real x, y.

Prove: there is a constant A such that f(x) = Ax - C for all x. (Note: continuity of f is not assumed in advance.)

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