Let I be an interval and B a subset of R. Let f:I → B be a function continuous on I. AIM: To test knowledge of the Intermediate Value Theorem and properties of continuous functions on closed bounded intervals. If I is a closed bounded interval, then f(I) may be equal to the union of two disjoint and nonempty sets. b. An interval of R may consist of only two elements. C. f(I) need not be an interval. d. If I is a closed bounded interval, then f(I) = [µ, v], for some u, v E R. If I is a bounded interval, then so is f(I)

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