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A differentiable function f satisfies 1 f 0 x 3 for all

A differentiable function f satisfies 1 ≤ f

0 (x) ≤ 3 for all real numbers x.

Moreover, it is known that f(2)= 4. Use the Mean Value Theorem to answer the following.

(a) What is the largest possible value of f(7) ? Explain.

(b) What is the smallest possible value of f(-4) ? Explain

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Mathematics: A differentiable function f satisfies 1 f 0 x 3 for all

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Mathematics: A differentiable function f satisfies 1 f 0 x 3 for all

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