Question

Is the following relation a function?

{(3, −2), (1, 2), (−1, −4), (−1, 2)}

Answer 1

It's not a function.

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 2

Answer: No, it is not a function.

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.