Prove that the Greatest Integer Function `f : R-R ,`given by `f (x) = [x]`, is neither one-one nor

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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.
Prove that the Greatest Integer function f: R to R given by f(x)=[x] is neither one-one nor onto Prove that the Greatest Integer function f: R to R given by f(x)=[x] is neither one-one nor onto
3.Prove that the Greatest Integer Function f: R  R, given by f(x) = [x], is neither one-one nor 3.Prove that the Greatest Integer Function f: R  R, given by f(x) = [x], is neither one-one nor
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Prove that the greatest integer function `f : R rarrR` given by `f(x) =[x]`|Class 12 MATH | Doubtnut Prove that the greatest integer function `f : R rarrR` given by `f(x) =[x]`|Class 12 MATH | Doubtnut
"Show that `f: R-R` , given by `f(x)=x-[x]` , is neither one-one nor onto." "Show that `f: R-R` , given by `f(x)=x-[x]` , is neither one-one nor onto."
Show that the modulus function f: RR rarr RR , given by f(x)=|x| is neither one-one nor onto W... Show that the modulus function f: RR rarr RR , given by f(x)=|x| is neither one-one nor onto W...
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