Question

Is the following relation a function?

{(3, -5), (1, 2), (-1,-4), (-2, 2)}

Yes
No

Answer 1

Yes

Explanation:

If there is a repeat of a number in the domain (x-axis), the relation is not a function. In this case, there are no repeats in the domain. Therefore, the relation is a function.

Answer 2

Yes

Explanation:

A function is a relation between sets that associates to every element of a first set exactly one element of the second set. In the question we see coordinates of points in which the x-coordinate is associated to an y-coordinate. Taking x as the independent variable, then y = f(x). Data can be rewritten in a table format as follows:

x | f(x)

-2 | 2

-1 | 4

1 | 2

3 | -5

This relation is a function because for every element of x there is only 1 element of f(x)