Answer:
We conclude that the relation is a function but it is not a linear function.
Step-by-step explanation:
The given table represents a function because each input or x-value is related to exactly one output or y-value.
In other words, there is no repetition of 'x' values. This indicates that the given relation in the table represents a function.
In order to check whether the function is linear or not linear, we need to check how x and y values change.
The table indicated that x increases by 2, now we need to determine whether the y-values increases at a constant rate or not. For this, we need to find the first difference between y-values.
-3 - (-8) = 5
3 - (-3) = 6
7 - 3 = 4
As the first difference between the consecutive y-values is not constant, meaning that y-values do not increase at a constant rate as x-values increase by 2.
Thus, it is not a linear function,
Therefore, we conclude that the relation is a function but it is not a linear function.
