Is the following relation a function?

{ (3, - 2), (1, 2), (-1, - 4), (-1, 2) }

It's not a function.

Step-by-step explanation:

A function is a process or a relation that associates each element x of a set X, to a single element y of another set Y.

We have:

{ (3, - 2), (1, 2), (-1, - 4), (-1, 2) }

for x = - 1 are two values of y = - 4 and y = 2. Therefore this realtion is not a function.

Answer: No, it is not a function.

Step-by-step explanation:

A function is a special kind of relation between two variables commonly x and y such that each x (input) value corresponds to a unique y (output) value.

The given relation: { (3, - 2), (1, 2), (-1, - 4), (-1, 2) }

According to the above definition, the given relation is not a function because - 1 corresponds to two different output values i. e. - 4 and 2.

Hence, the given relation is not a function.