If f ∶ \(\mathbb R\) → \(\mathbb R\) is continuous and f(x) is continuous for every x in \(\mathbb Q\) then f(x) is continuous on x in \(\mathbb R\), which theorem states this fact?

1
Weierstrass factor theorem
2
Riemann theorem
3
Initial value theorem
4
Identity theorem
5
Question Not Attempted

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