Q. 315.0( 1 Vote )

Write whether f :

Answer :

(I)A function is one-one function or an injection if


f(x)=f(y)x=y for all x,yA


or f(x)f(y)xy for all x,yA


(II) A function is onto function or surjection if


Range (f)=co-domain(f)


(III) A function is not onto function, then


is always an onto function


Given:-


(i)f : R R


(ii)



=x ± x


=0, 2x


Now putting x=0



Again putting x=-1



Hence f is many one


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