2. Suppose that f(x) is continuous and differentiable on the entire real line. Suppose we also know that 2 ≤ f'(x) ≤4 for all x. If f(3) = 5, what is the smallest possible value that f(0) could be? A. -1. B. -7. C. 11. D. 17. E. 1.
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Step 1: Since f(x) is continuous and differentiable on the entire real line, we can use the Mean Value Theorem to relate the values of f(x) and f'(x). Show more…
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