Let $f(x)$ be a differentiable function in $[0, 2]$,$f(0) = 0$ and $f'(x) \le \frac{1}{2}$ for all $x \in [0, 2]$. Then:
- A$f(x) \le 1$
- B$f(x) \le 2$
- C$f(x) = 2x$
- D$f(x) = 3$ for some $x \in (0, 2)$
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