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Suppose g is a function that is differentiable everywhere. Moreover, suppose g(-7) = 4 and g(5) = 6. Can you apply IVT to say

 

Suppose g is a function that is differentiable everywhere. Moreover, suppose g(-7) = 4 and g(5) = 6. Can you apply IVT to say that there exists a c E (-7,5) such that g(c) = 4.6583? Explain you answer with math, words, or both.

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