Question: 6) Suppose that the function y = f(x) is continuous for all real numbers. a) If f(1) = -4 & f(10) = 3, then is

6) Suppose that the function y = f(x) is continuous for

6) Suppose that the function y = f(x) is continuous for all real numbers. a) If f(1) = -4 & f(10) = 3, then is it valid to say that there must exist a number k such that f(k) =0 and k is between 1 and 10? b) Justify your answer in part (a) with a good and well-detailed explanation

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