URGENT CALCULUS QUESTION: unbounded behavior and continuity (question 2)

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2. A. Produce a function f(x) that satisfies the following conditions: I. Its domain is all real numbers. Il. It has no maximum and no minimum on the interval [ 1,3] . Ill. It satisfies f(1) = 1 and f(3) = -1, but there does not exist a c between 1 and 3 such that f(x) = 0. B. Construct a function f(x) that satisfies the following conditions: I. f is continuous for all x. II. -10