The given relation is not a function because the input x = 2 is associated with two different output values, -19 and 8.
To determine whether the given relation is a function, we can examine if each input (x-value) corresponds to a unique output (y-value). If any x-value is associated with more than one y-value, the relation is not a function.
In the provided table:
When x = 2, it is associated with two different y-values: -19 and 8.
When x = 11, it is associated with y = 16.
Since the input x = 2 has more than one corresponding output, the relation fails the vertical line test, indicating that it is not a function.
A function is a relation in which each input (x) uniquely determines one output (y). If a single input has multiple corresponding outputs, the relation is not a function. In this case, x = 2 is associated with both -19 and 8, violating the definition of a function.
The question probable may be:
Look at this table:
x y
2 -19
2 8
11 16
Is this relation a function/
yes or no