Prove that the Greatest Integer Function `f : R- gt R ,` given by `f (x) = [x]` , is neither one...

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Prove that the Greatest Integer Function f : R → R, given by f(x)=[x], is neither one-one nor onto. Prove that the Greatest Integer Function f : R → R, given by f(x)=[x], is neither one-one nor onto.
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The greatest integer function f:R→R given by f(x)=[x] ,one-one, onto, both #relationandfunctions The greatest integer function f:R→R given by f(x)=[x] ,one-one, onto, both #relationandfunctions
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Show that the functions `f: R_*- gt R_*` defined by `f(x)=1/x` is one-one and onto. where R* is ... Show that the functions `f: R_*- gt R_*` defined by `f(x)=1/x` is one-one and onto. where R* is ...