Part 1: Domain: [tex]\{-1,1,3,6\}[/tex] and Range : [tex]\{2,2,2,2\}[/tex]
Part 2: Yes, the given relation is a function.
Step-by-step explanation:
Part 1: The relation is [tex]\{(-1,2),(1,2),(3,2),(6,2)\}[/tex]
The domain of a relation is the set of all x-coordinate in the ordered pair.
Thus, the domain of the relation [tex]\{(-1,2),(1,2),(3,2),(6,2)\}[/tex] is the set of all x-coordinates in the ordered pair.
Hence, Domain = [tex]\{-1,1,3,6\}[/tex]
To find the range, the range of a relation is the set of all y-coordinate in the ordered pair.
Thus, the range of the relation [tex]\{(-1,2),(1,2),(3,2),(6,2)\}[/tex] is the set of all y-coordinate in the ordered pair.
Hence, Range = [tex]\{2,2,2,2\}[/tex]
Part 2:
To find the relation [tex]\{(-1,2),(1,2),(3,2),(6,2)\}[/tex] is a function.
A relation can be defined as a function only if each element of the domain is paired with exactly one element of the range.
Thus, the relation [tex]\{(-1,2),(1,2),(3,2),(6,2)\}[/tex] is a function.
