Given:
Given that the coordinates are (3.9, 5.9), (–1.1, 5.9), (–4.1, 3.9), (–4.1, –2.1)
We need to determine domain and range and also find whether the relation is a function.
Domain:
The domain is the set of all independent x - values.
Thus, we have;
[tex]Domain=\{3.9,-1.1,-4.1\}[/tex]
Thus, the domain is {3.9,-1.1,-4.1}
Range:
The range is the set of all dependent y - values.
Thus, we have;
[tex]Range=\{5.9,3.9,-2.1\}[/tex]
Thus, the range is {5.9,3.9,-2.1}
Function:
We need to determine whether the given relation is a function.
For a relation is said to be a function, if every value of x has only one image in the y - coordinate.
After plotting the graph, it is obvious that the x - value -4.1 has two images 3.9 and 2.1
Hence, the given relation is not a function.