Answer:
Please check the explanation.
Step-by-step explanation:
Given the relation
{(1, -2), (-2, 0), (-1, 2), (1, 3)}
Please note that there is a repetition of x-values.
i.e. x=1 appears twice times.
This relation does not define a function because every x-value should have been unique and is associated with only one value of y.
Here, the x-values are repeated. Hence, this relation is not a function.
Finding the Domain of a relation:
We know that the domain is the complete set of all first elements of ordered pairs often called x-coordinates.
Domain of a relation: {-1, -2, 1}
Note: Domain is in ascending order and repeated elements are written only once.
Finding the Range of a relation:
We know that the domain is the complete set of all second elements of ordered pairs often called y-coordinates.
Range of a relation: {-2, 2, 3}
Note: Range is in ascending order and repeated elements are written only once.
