Question: Does there exist a continuous function f(x) such that f(0)=-6, f(2) = -10 and f'(x) 7 for all z in (0,2)?

Does there exist a continuous function f(x) such that f(0)=-6, f(2) =

Does there exist a continuous function f(x) such that f(0)=-6, f(2) = -10 and f'(x) 7 for all z in (0,2)?

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