Let \(f(x) : \mathbb{R} \to \mathbb{R} \) be an infinitely differentiable function such that f'(x) has exactly two distinct zeros. Then, which of the following statements is true?
1
f''(x) has at most 3 distinct zeros.
2
f'(x) has at least 1 zero.
3
f(x) has at most 3 distinct zeros.
4
f(x) has at least 2 distinct zeros.