Question: Suppose that f(x) is continuous function on [-1,3] and that f(-1)=7 and f(3)=-3 1. Justify why there must be a number c in the interval

Suppose that f(x) is continuous function on [-1,3] and that f(-1)=7 and f(3)=-3 1. Justify why there must be a number c in the interval [-1,3] such that f(c)=5 2. Give an example of a non-continuous function f(x) for which one cannot find a number c in [-1,3] for which f(c)=5

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