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[tex]\[
\begin{array}{c}
(-1,1) \\
(0,-1) \\
(5,-11) \\
(10,-21)
\end{array}
\][/tex]

What is the domain of the set of ordered pairs above?

A. [tex]\(\{-1,0,5,10\}\)[/tex]
B. [tex]\(\{1,-1,-11,-21\}\)[/tex]
C. [tex]\(\{-1,1\}\)[/tex]
D. [tex]\(\{-1,10\}\)[/tex]

Sagot :

GinnyAnsweridn
To determine the domain of the given set of ordered pairs, we need to extract the first element from each pair. The domain of a function is the set of all possible input values, which, in this context, are represented by the first elements in each ordered pair.

Let's list the given ordered pairs:
1. [tex]\((-1, 1)\)[/tex]
2. [tex]\((0, -1)\)[/tex]
3. [tex]\((5, -11)\)[/tex]
4. [tex]\((10, -21)\)[/tex]

The domain consists of the first value from each of these pairs:
- From [tex]\((-1, 1)\)[/tex], the first value is [tex]\(-1\)[/tex].
- From [tex]\((0, -1)\)[/tex], the first value is [tex]\(0\)[/tex].
- From [tex]\((5, -11)\)[/tex], the first value is [tex]\(5\)[/tex].
- From [tex]\((10, -21)\)[/tex], the first value is [tex]\(10\)[/tex].

Thus, the domain is the set containing all these first values:
[tex]\[ \{-1, 0, 5, 10\} \][/tex]

Now we compare this set to the provided answer choices:
A. [tex]\(\{-1, 0, 5, 10\}\)[/tex]
B. [tex]\(\{1, -1, -11, -21\}\)[/tex]
C. [tex]\(\{-1, 1\}\)[/tex]
D. [tex]\(\{-1, 10\}\)[/tex]

The correct answer is:
A. [tex]\(\{-1, 0, 5, 10\}\)[/tex]
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