The domain of a function is the set of all possible input values (x-values) that a function can take. In this case, we have a set of ordered pairs to analyze:
{(–2, 1), (0, 0), (3, –1), (–1, 7), (5, 7)}
To find the domain, we look for all the unique x-values from these ordered pairs:
- From the pair (-2, 1), the x-value is -2.
- From the pair (0, 0), the x-value is 0.
- From the pair (3, -1), the x-value is 3.
- From the pair (-1, 7), the x-value is -1.
- From the pair (5, 7), the x-value is 5.
Now, we combine these x-values: -2, 0, 3, -1, and 5.
So the domain is: {-2, -1, 0, 3, 5}
This matches the second set listed in your options: {–2, –1, 0, 3, 5}.
Thus, the domain of the function represented by the ordered pairs is {-2, -1, 0, 3, 5}.