Answer:
Second option: {[tex](-2, 3), (0, 1), (-2, 4), (5, 4)[/tex]}
Third option: {[tex](5, 6), (0, 4), (-2, 1)[/tex]}
Step-by-step explanation:
By definition, the Domain of a relation is the set of all the x-coordinates of the ordered pairs (It is necessary to remember that the x-coordinate is the first element of the ordered pair).
Then, we know that the set of all the x-coordinates of the relation we need to find is: {[tex]-2, 0, 5[/tex]}
First option {[tex](-2, 5), (3, 4), (5, 1)[/tex]}:
Domain: {[tex]-2, 3, 5[/tex]}
Second option {[tex](-2, 3), (0, 1), (-2, 4), (5, 4)[/tex]}:
Domain: {[tex]-2, 0, 5[/tex]} (Notice that we do not need to write -2 twice)
Third option {[tex](5, 6), (0, 4), (-2, 1)[/tex]}:
Domain: {[tex]-2, 0, 5[/tex]}
Fourth option {[tex](4, -2), (3, 0), (2, 5)[/tex]}:
Domain: {[tex]2, 3, 4[/tex]}
The relations {[tex](-2, 3), (0, 1), (-2, 4), (5, 4)[/tex]} and {[tex](5, 6), (0, 4), (-2, 1)[/tex]} has a Domain of {[tex]-2, 0, 5[/tex]}
