Question: Given f ( 1 ) = 3 and f ( 5 ) = 1 1 . If f is continuous on [ 1 , 5

Given f(1)=3 and f(5)=11. If f is continuous on [1,5] and differentiable on (1,5), the mean value theorem guarantees which of the following statements about f for some c in the interval (1,5).
f(c)=0
f(c)=9
f(c)=2
f(c)=0

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