Relations and Functions , Ex 2.1, Q - 4,5,6

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),

Check whether the following relations are functions or not: R_(1)={(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} R_(2)={(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} R_(3)={(1,3),(1,5),(2,5)}

Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a , b) : b = a + 1} is reflexive, symmetric or transitive.

Which of the following relation are functions? Give reasons. In cane of a function, determine its domain and range. {(1,-2),(3,7),(4,-6),(8,11)}

Which of the following relation are functions? Give reasons. In cane of a function, determine its domain and range. {(1,0),(1,-1),(2,3),(4,10)}

Let X={1,2,3,4} . Determine whether or not each relation is a function from X into X. f={(2,3),(1,4),(2,1),(3,2),(4,4)}

Let X={1,2,3,4} . Determine whether or not each relation is a function from X into X. h={(2,1),(3,4),(1,4),(4,4)}

Ex 9.1 Q 14 , 15 and 16

Let R be a relation such that R = {(1,4), (3,7), (4,5), (4,6), (7,6)} , check R is a function or not ?

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)}