I need to prove that if a function is injective(one-one) and has Intermediate Value Property, then the function is continuous. I just need a hint as I would like to solve it on my own.
P.S.-Remember that Intermediate Value Property on it's own does not imply continuity.
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What is the definition of 'Intermediate Value Property'? – Idonknow Dec 29 '14 at 12:13