Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Continuity & Differentiability

Let f : \(\mathbb{R}\) → \(\mathbb{R}\) be twice differentiable and satisfy f(x + y) = f(x) + f(y). If f'(0) = 1, then which of the following is true?

1
f(0) = 1
2
f''(2) = 2
3
f'(3) = 1
4
f(x) = constant
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