4. (8%) Suppose that \( f(0) = 0 \) and \( f'(x) \geq 6 \) for \( x \in \mathbb{R} \). How small can \( f(100) \) possibly be? (Hint: the Mean Value Theorem)
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4. (8%) Suppose that \( f(0) = 0 \) and \( f'(x) \geq 6 \) for \( x \in \mathbb{R} \). How small can \( f(100) \) possibly be? (Hint: the Mean Value Theorem)