Question

Is the following relation a function?

X Y
1 -2
2 -3
3 1
3 -2

Answer 1

Are the input values unique, or are there duplications?
If unique: function
If not unique: not a function

Answer 2

Answer: Given relation is NOT a function

A relation is said to be a function if no value in its domain is paired up with more than one value in its range.

Since x values represent the Domain of a relation and y values represent the Range of a relation, in terms of x and y we can say:

A relation is said to be a function if an x-value is not paired up with more than one y-value.

From the above table we can see that the value 3 in x column(Domain) is paired with more than 1 y-values. So the given relation is not a function.