Answer:
The ordered pairs (-1, -4) an (-1, 2) have the same first coordinate i.e. -1 is occurring twice. Therefore, the given relation is not a function.
Step-by-step explanation:
Considering the relation
{(3, −2), (1, 2), (−1, −4), (−1, 2)}
No! the following relation is not a function.
Here is the reason:
Check the table
x y occurrence of x
3 -2 1
1 2 1
-1 -4 1
-1 2 2
From the above table, it is clear that the value of input x is occurring more than once (twice here), so the set of ordered pairs is not a function.
Because a set of ordered pairs will be a function only if the ordered pairs do not have the same first coordinate with different second coordinates.
But the ordered pairs (-1, -4) an (-1, 2) have the same first coordinate i.e. -1 is occurring twice. Therefore, the given relation is not a function.
