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)}
(ii) 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)}

Examine each of the following relations given below and state in each case giving reasons whether it is a function ir not ? R={(2,1,) ,( 3,1),( 4,2)}

Examine each of the following relations given below and state in each case giving reasons whether it is a function ir not ? R={(2,2),(2,4),(3,3) ,(4,4)}

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

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)}

Determine whether the give set of points in each case are collinear or not. (i) (7,-2),(5,1),(3,4) (ii) (a,-2),(a,3)(a,0)

Find the inverse (if it exists) of the following: (i) [{:(-2,4),(1,-3):}] (ii) [{:(5,1,1),(1,5,1),(1,1,5):}] (iii) [{:(2,3,1),(3,4,1),(3,7,2):}]

Let X = { 1,2,3,4 } and R = { (1,1), (1,2),(1,3),(2,2), (3,3),(2,1),(3,1),(1,4),(4,1)}. Then R is