Answer:
The relation F is not a function
Step-by-step explanation:
A relation is a function if and only if for each input value x, there is a single output value y.
If for an input value x there are two or more output values y then the relation is not a function.
In this problem we have the following relationship:
F = {(2, -4), (2, 7) (3, 5), (4, -1), (8, 7)}
Note that for the input value [tex]x = 2[/tex] there are two possible output values: [tex]y = -4[/tex], [tex]y = 7[/tex].
Therefore, based on the definition described above, the relation F is not a function