Examine each of the following relations given below and state in each case, giving resons whether it is function or not?
(i) R={(2,1), (3,1), (4,2)}, (ii) R={(2,2), (2,4) ,(3,3),(4,4)}
(iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}

|{:(2,3,4),(3,4,5),(4,5,6):}|=0

|{:(2,3,4),(1,2,5),(3,4,2):}|

|{:(1,3,5),(2,4,3),(4,6,7):}|

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} (ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} (iii) {(1,3),(1,5),(2,5)}

|{:(1,2,3),(4,5,6),(3,2,2):}|

|{:(2,3,4),(5,6,1),(3,2,3):}|

If AxxB = {(1,2),(3,4),(5,2),(1,4),(3,2),(5,4)} , find BxxA .

The relation R = {(1,1) ,(2,2) ,(4,4),(1,2),(1,3),(2,3)} on the set A= {1,2,3,4} is -