reflexive, Symmetric, Transitive and anti-symmetric

Q#01:  Let X = { 1, 5, 9} , Y =  { 3, 4, 7}

            Define f : X →Y by  f(1) = 4,  f(5) = 7, f(9) = 4

(i)                 Is f one-one?

(ii)               Is f onto?

(iii)             Does inverse of f exist?                                                       

Q#02: Let A = {a, b, c} and R = {(a, c), (b, b), (c, a)} be a relation on A.

 Determine whether R is reflexive, Symmetric, Transitive and anti-symmetric, or not. 

                                                                                                           

Q#03: Find the 36th term of the arithmetic sequence whose 3rd term is 7 and 8th term is 17.

Please provide solution.