Answer:
Therefore, the relation of the given ordered pairs does NOT represent a function as that x-coordinate values are repeated.
Step-by-step explanation:
We know that a relation is basically a set of input and output values, which are expressed in ordered pairs.
A relation may have any set of ordered pairs.
We also know that a function is a set of ordered pairs in which each x-element has only one y-element associated with it.
Consider the five ordered pairs
x y
-2 1
3 -4
-2 -7
4 6
5 7
The relation is: {(–2, 1), (3, –4), (–2, –6), (4, 6), (5, 7)}
From the table, it is clear that x-coordinate values are repeated.
In other words, x = -2 twice.
Therefore, the relation of the given ordered pairs does NOT represent a function.
