Exercise 10: Either sketch the graph of a function f with the following properties, or explain why no such function exists (a) fis continuous on 0, 1, is non-constant, and takes on no integer values (b) f is continuous on (0,1), and takes on exactly two different values (c) f is defined on 0, 1], has a maximum, has a minimum, takes on every value between its maximum and minimum, but is not continuous (d) f is continuous on [0,1), has minimum 0, has no maximum, and f(x) < 1 for all x

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