A condition for a function y = f(x) to have a | vedclass

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(C) For a function $f: A 	o B$ to have an inverse,it must be a bijection,which means it must be both one-to-one (injective) and onto (surjective). $A

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Strictly monotonic and continuous in the domain

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(C) For a function $f: A 	o B$ to have an inverse,it must be a bijection,which means it must be both one-to-one (injective) and onto (surjective). $A$ function that is strictly monotonic (either strictly increasing or strictly decreasing) is always one-to-one. If a function is continuous and strictly monotonic on its domain,it maps its domain to its range in a one-to-one manner,ensuring the existence of an inverse function $f^{-1}$.

$A$ condition for a function $y = f(x)$ to have an inverse is that it should be

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