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Suppose ?(?) is continuous on [4,6] and −4 ≤ ?′(?) ≤ 2 for all ? in...

Suppose ?(?) is continuous on [4,6] and −4 ≤ ?′(?) ≤ 2 for all ? in (4,6). Use the Mean Value Theorem to determine how large ?(6)−?(4) could possibly be, and how small ?(6)−?(4) could possibly be.

? ≤ f(6) - f(4) ≤ ?

What are the numbers corresponding to the question marks?

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