If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following relations from X to Y are functions ? Give reasonfor your answer. If it is a function. State its type.
(i) `R_(1)` = {(x,y) | y = x + 2, x `in`X , y `in` Y }
(ii) `R_(2)` = {(1,1),(2,1),(3,3),(4,3),(5,5)}
(iii) `R_(3)` { (1,1),(1,3),(3,5),(3,7),(5,7)}
(iv) `R_(4) ` {(1,3),(2,5),(4,7),(5,9),(3,1)}