Suppose that f: (-5,5) → R is a continuous function. Which
of the following statements must be true and which could be
false? (Give reasons for your answers)
(a) The set { f(x) : 0 < x < 1 } is open.
(b) The set { f(x) : 0 < x < 1 } is bounded.
(c) f is uniformly continuous on the interval (-1,1).
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