Answer:
Please check the explanation.
Step-by-step explanation:
Given the relation
{(0,4), (-4,-4), (-2,3), (4,0)}
Determining the table:
x y
0 4
-4 -4
-2 3
4 0
Mapping
X Y
0 → 4
-4 → -4
-2 → 3
4 → 0
It is clear from the table and mapping that the given relation is a function because each input has exactly one output.
In other words, the given relation is a function because there is no duplicated or repeated x-value.
The graph is also attached below.
Determining the domain
We also know that the domain is the set of all the first elements or members of ordered-pairs.
- First elements are also termed as x-coordinates.
Thus, the domain of the function in ascending order.
Domain: {-4, -4, 0, 4}
Determining the range
We also know that the domain is the set of all the second-elements or members of ordered-pairs.
- The second-elements are also termed as y-coordinates.
Thus, the range of the function in ascending order.
Domain: {-4, 0, 3, 4}
