Kelley Gross
07/29/2024 · Elementary School
Analyze the Function below. \( \{(0,-1),(1,0),(2,7),(-1,-2),(-2,-9)\} \) What is the Domain are the function? \( \begin{array}{l}\{1,2,-1,-2\} \\ \{0,7,-,-1,2\} \\ \{-1,0,7,-2,-9\} \\ \{0,1,2,-1,-2\}\end{array} \)
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Step-by-step Solution
To determine the domain of the function, we need to identify all the possible input values (x-values) from the given set of ordered pairs. The domain consists of all unique x-values that are associated with the function.
Given the set of ordered pairs:
\( \{(0,-1),(1,0),(2,7),(-1,-2),(-2,-9)\} \)
We can list the x-values from these pairs:
\( \{0, 1, 2, -1, -2\} \)
Now, let's look at the provided options for the domain:
1. \( \{1,2,-1,-2\} \)
2. \( \{0,7,-,-1,2\} \)
3. \( \{-1,0,7,-2,-9\} \)
4. \( \{0,1,2,-1,-2\} \)
Option 1 is missing the value 0, which is present in the ordered pairs. Option 2 is incorrect because it includes the value 7, which is not an x-value from the ordered pairs. Option 3 is also incorrect because it includes the value 7 and -9, which are not x-values from the ordered pairs. Option 4 includes all the x-values from the ordered pairs.
Therefore, the correct domain of the function is:
\( \{0,1,2,-1,-2\} \)
Quick Answer
The domain of the function is \( \{0,1,2,-1,-2\} \).
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