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If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true? I. g(x) =

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If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true? I. g(x) = 1 at least once II. lim g(x)=g(3.5) x-+3.5 III. lim g(x)= lim g(x) x-+3- x-+3+ O A. I only O B. II only O C. I and ll only O D. I, II, and Ill O E. None of these

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