(a) State the Mean Value Theorem. (b) Suppose we know that f (x) is continuous on the interval [-7.0] and differentiable on the interval (-7,0), that f(-7) = = -3 and that f'(x) < 2 for all x. What is the largest possible value for f(0).

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(a) State the Mean Value Theorem.
(b) Suppose we know that f(x) is continuous on the interval [-7.0] and differentiable on the interval (-7,0), that
f(-7) = –3 and that f'(x) < 2 for all x. What is the largest possible value for f(0).
Transcribed Image Text:(a) State the Mean Value Theorem. (b) Suppose we know that f(x) is continuous on the interval [-7.0] and differentiable on the interval (-7,0), that f(-7) = –3 and that f'(x) < 2 for all x. What is the largest possible value for f(0).
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