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  • 15-04-2024
  • Mathematics
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Let f : [0, 1] → R be a continuous function that does not take on any of its values twice and with f(0) < f(1) Show that f is strictly increasing on [0, 1] (i.e. if x, y ∈ [0, 1] and x < y, then f(x) < f(y) )

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