10. Solve the following problems about mappings. Tell whether the function is one-to-one, onto, bijection, and justify your answer (2 points each) (a) f(m, n) m2 n2 in the domain Z x Z O Z (b) f( (c) f(a) d, f(b) b, f(c)-d, f(d-a) in the domain fa, b, c, d 0 fa, b, c, d) (d) f(student) - student's social-security-no, where student E discrete-structure-class (e) Give an example of a N 0 N that is onto but not one-to-one (2 bonus pts) (f) f(x)--3 x + 4 in the domain R R (2 bonus pts) n)- ceiling(n/2) in the domain Z O Z