Question: Let [a,b] be a closed and bounded interval, let kER, and let f:[a,b]-R be a function. Suppose that f satisfies the conclusion of the intermediate

Let [a,b] be a closed and bounded interval, let kER, and let f:[a,b]-R be a function. Suppose that f satisfies the conclusion of the intermediate value theorem. Show that the function g(x) defined by g(x) = kf(x) for all xe[a,b] also satisfies the conclusion of the intermediate value theorem

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