The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is
A. one-one and onto
B. onto but not one-one
C. one-one but not onto
D. neither one-one nor onto
Answer:C
The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is
A. one-one and onto B. onto but not one-one C. one-one but not onto D. neither one-one nor onto