Derivatives & Mean Value Theorem AP Calc AB

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I work through a 2017 AP Calculus AB exam inspired question. We have information about functions in function notation, tables, and graphs.
Part A) Find derivative at a point 2:02
Part B) Find a derivative using the chain rule 4:24
Part C) Find a derivative using product rule and chain rule 8:21
Part D) Mean Value Theorem 11:50

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I really didn't get the part d :-/
The question isn't asking if there is a value of c in the closed interval [-5, -1] which make g'(c) = -1?
From the table on the right it is clear that for x=-1 (so c=-1) the value of g(-1) is = -1.

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