Part a: Domain : [tex]\{2,5,-1,6\}[/tex]
Part b: Range : [tex]\{3,-2\}[/tex]
Part c: The relation is a function
Explanation:
Part a: The domain of the relation is the set of all input values in the relation. In other words, the domain is the set of all x - coordinates of the ordered pairs in the relation.
Hence, from the given relation, the domain is given by
[tex]\{2,5,-1,6\}[/tex]
Therefore, the domain of the given relation is [tex]\{2,5,-1,6\}[/tex]
Part b: The range of the relation is the set of all output values in the relation. In other words, the range is the set of all y - coordinates of the ordered pairs in the relation.
Hence, from the given relation, the range is given by
[tex]\{3,-2\}[/tex]
Therefore, the range of the given relation is [tex]\{3,-2\}[/tex]
Part c: A relation is said to be a function if each element in the input value of the relation is mapped to exactly one element in the output value.
Hence, from the given relation, it is obvious that the each element in the input is mapped to exactly one element in the output value.
Thus, the given relation is a function.