Let R denote the set of all real numbers and R^(+) denote the set of all positivereal numbers. For the subsets A and B of R define f : A to B by f(x)=x^(2) for x in A. Observe the two lists given below{:(,"Column I",,"Column II"),(A.,"f is one-one and onto, if",1.,A=R^(+)",B=R"),(B.,"f is one-one but not onto, if",2.,A=B=R),(C.,"f is onto but not one-one, if",3.,"A=R, "B=R^(+)),(D.,"f is neither one-one nor onto, if",4.,A=B=R^(+)):}

Let R denote the set of all real numbers and R^(+) denote the set of a

1.	Let R denote the set of all real numbers and R^(+) denote the set of all positivereal numbers. For the subsets A and B of R define f : A to B by f(x)=x^(2) for x in A. Observe the two lists given below{:(,"Column I",,"Column II"),(A.,"f is one-one and onto, if",1.,A=R^(+)",B=R"),(B.,"f is one-one but not onto, if",2.,A=B=R),(C.,"f is onto but not one-one, if",3.,"A=R, "B=R^(+)),(D.,"f is neither one-one nor onto, if",4.,A=B=R^(+)):}
Answer» A-1, B-2, C-3, D-4 A-4, B-2, C-1, D-3 A-4, B-1, C-3, D-2 A-4, B-2, C-3, D-1 ANSWER :C

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