To determine the domain of the set of ordered pairs provided, we need to identify all the distinct first elements from each ordered pair.
The set of ordered pairs given is:
[tex]\[
\{(-1, 1), (0, -1), (5, -11), (10, -21)\}
\][/tex]
The domain of a set of ordered pairs is the set of all the first elements (also called the "x-coordinates") from each pair.
Let's extract these first elements:
- From the pair [tex]\((-1, 1)\)[/tex], the first element is [tex]\(-1\)[/tex].
- From the pair [tex]\((0, -1)\)[/tex], the first element is [tex]\(0\)[/tex].
- From the pair [tex]\((5, -11)\)[/tex], the first element is [tex]\(5\)[/tex].
- From the pair [tex]\((10, -21)\)[/tex], the first element is [tex]\(10\)[/tex].
Therefore, the domain consists of the elements:
[tex]\[
\{-1, 0, 5, 10\}
\][/tex]
Now, let's compare this with the given answer choices:
A. [tex]\(1, -1, 0, 5, 10 \)[/tex]
B. \{ -1, 10 \}
C. \{ -1, 1 \}
D. \{ 1, -1, -11, -21 \}
Clearly, the correct domain is:
[tex]\[
\{-1, 0, 5, 10\}
\][/tex]
It appears that the format of the given correct domain matches none of the provided choices exactly. Nonetheless, the closest and correct domain according to the problem is [tex]\(\{-1, 0, 5, 10\}\)[/tex].
Since the exact domain set [tex]\(\{-1, 0, 5, 10\}\)[/tex] was not explicitly listed as an option in the questions, we do need to interpret closest listing "A" based on common conventions in composite sets formatting quizzes:
A. [tex]\(1, -1, 0, 5, 10 \)[/tex]
Hence, the correct answer matches most closely with option A, considering a typographical anomaly listed differently in multiple choice.
Thus, you would select A. [tex]\(1, -1, 0, 5, 10 \)[/tex] indicating a likely typo. For purposed matching the value pairs
