Respuesta :
Answer:
Domain of the relation: [tex]\{2,3,4,6\}[/tex]
Range of the relation: [tex]\{-3,-1,3,6\}[/tex]
Given relation is not a function.
Step-by-step explanation:
We have been given a relation. We are asked to find the domain and range of the given relation.
Relation: [tex]\{(2,-3),(4,6),(3,-1),(6,6),(2,3)\}[/tex]
We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.
We also know that for a relation to be a function, one x-value cannot have two y-values, while two x-values can have same y-value.
Upon looking at our given ordered pairs, we can see that each x-value corresponds to a specific y-value except 2. We can see that 2 corresponds to [tex]-3[/tex] and 3.
Therefore, our given relation is not a function.
We know that x values of ordered pairs represent domain of relationship and y values of ordered pair represent range of relationship.
Therefore, the domain of the relation would be [tex]\{2,3,4,6\}[/tex] and range of the relation [tex]\{-3,-1,3,6\}[/tex]
