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    Proving f(x) = x-1 (x<0), x+1 (x≥0) is strictly increasing

    Homework Statement Hello, Does anybody know how to solve this question? Or a formal way to prove that a fuction is strictly increasing? Define f(x)={ x-1 if x<0 x+1 if x >_ 0 Show that f: R -> R is strictly increasing and that f^(-1) : f(R) -> R is continuous at 1...
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