Is the following relation a function? xy 1 - 2 1 - 3 2 1 3 - 2

The given relation is not a function.

Step-by-step explanation:

A relation is called a function if there exist a unique value of y for each value of x.

The given table is

x y

1 - 2

1 - 3

2 1

3 - 2

From this table it is clear that we have two values of y at x=1.

One value of y at x=1 is - 2 and the second value of y at x=1 is - 3.

Since the given relation has more than one value of y for x=1, therefore the given relation is not a function.

It is not a function.