What is the domain of this relation? Is it a function?
{(2, 7), (0, 3), (-4, 3)}
Select one:
a. {7, 3}; yes
b. {2, 0, -4}; no
c. {7, 3}; no
d. {2, 0, -4}; yes
(d)
no two pairs have the same 1st element.
To determine the domain of a relation, we need to identify all the x-values (first elements) of the ordered pairs in the relation. In this case, the x-values are 2, 0, and -4. Therefore, the domain of this relation is {2, 0, -4}.
Now, to determine if the relation is a function, we need to check if each x-value is paired with only one y-value (second element). If there is any x-value that is paired with multiple y-values, then it is not a function.
Looking at the relation {(2, 7), (0, 3), (-4, 3)}, we can see that the x-values 0 and -4 are paired with the same y-value 3. Therefore, this relation is not a function.
So the correct answer is: b. {2, 0, -4}; no