Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by aRb = {(a, b) : a, , a divide b}. determine its domain and range.
(i) {(2, 4), (3, 4), (4, 5)}
x = 2, 3, 4
x = does not have an image
∴ the set does not represent a function.
(ii) {(2, 2), (3, 3), (4, 5), (5, 3)}
x = 2, 3, 4, 5
x has a unique image.
∴ the set represents a function
Df = {2, 3, 4, 5}
Rf = {2, 3, 5}
Let A = {2, 3, 4, 5}, which of the following relations from A into A is a function ? If it is a function, determine the domain and range.
(a) {(2,2), (3, 2), (4,2), (5,2)} (b) {(2, 3), (3,4),(4,5),(3,5)}
Let A = {2, 3, 4, 5}, which of the following relations from A into A is a function ? If it is a function, determine the domain and range.
Let A = {2, 3, 4, 5}, which of the following relations from A into A is a function ? If it is a function, determine the domain and range.