Consider the following relations from A to B where A = {u, v, w,
| Consider the following relations from A to B where A = {u, v, w, x, y, z} and B = {p, q, r, s}.
1) {(u, p), (v, p), (w, p), (x, q), (y, q), (z,q)}
2) {(u, p), (v, q), (w, r), (z, s)}
3) {(u, s), (v, r),(w, q),(u, p),(v, q),(z, q)}
4) {(u, q),(v, p),(w, s),(x, r),(y, q),(z, s)}
Which of the above relations are not functions?
A. 1 and 2
B. 1 and 4
C. 2 and 3
D. 3 and 4
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Given: A = {u, v, w, x, y, z}; B = {p, q, r, s}
As we know mapping f : x y is said to be a function, if each element in the set x has its image in set y.
It is also possible that there are few elements in set y which are not the image of any element in set x. but Every element in set x should have one or more than one image in set y.
Then that will show the relational function between those two sets.
