Question

Given {(1, 2), (3, 5), (-2, 2), (3,6)}, choose the pair of coordinates that clarify why this

relation is not a function.

Answer 1

Given:

The relation is:

`\{(1, 2), (3, 5), (-2, 2), (3,6)\}`

To find:

The pair of coordinates that clarify why this relation is not a function.

Solution:

A relation is called a function if there exist unique y-value for each x-value. In other words, if a relation has two outputs for a single input, then the relation is not a function.

The given relation is:

`\{(1, 2), (3, 5), (-2, 2), (3,6)\}`

This relation has two y-values 5 and 6 for a single x-value 3. Since the y-value is not unique all all values of x, therefore the relation is not a function.

Hence, the pairs of coordinates (3,5) and (3,6) clarify that the given relation is not a function.