Question

Item 26Which relation is a function?{(1, 2), (2, 3), (3,  2), (2, 1)}{(1, −1), (−2, 2), (−1,  2), (1, −2)} {(4, 2), (3, 3), (2,  4), (3, 2)}{(1, 4), (2, 3), (3,  2), (4, 1)}

Answer 1

Using the given relations, let's determine the relation which represents a function.

A relation represents a function if for each value of x there is only one possible y-value.

This means that in the relation no value of the x-coordinate must appear twice or be repeated.

Using the relations given, the relation which is a function is:

{(1, 4), (2, 3), (3,  2), (4, 1)}

This is because, in this relation, there is only one value y for each value of x.

In this relation, no x value appears more than once.

Therefore, the relation which is a function is:

{(1, 4), (2, 3), (3,  2), (4, 1)}

ANSWER:

{(1, 4), (2, 3), (3,  2), (4, 1)}