Questions: Find the domain of the function represented by the list of ordered pairs below.
(-2,9),(6,-7),(-9,-5),(-12,10)
Select the correct answer below:
-9,-2,6,10
-12,-9,6,9
-7,-5,9,10
-7,-5,10
-12,-9,-2,6,9
Transcript text: Question
Find the domain of the function represented by the list of ordered pairs below.
\[
\{(-2,9),(6,-7),(-9,-5),(-12,10)\}
\]
Select the correct answer below:
$-9,-2,6,10$
$-12,-9,6,9$
$-7,-5,9,10$
$-7,-5,10$
$-12,-9,-2,6,9$
Solution
Solution Steps
Step 1: Extract the Inputs
Extract the first element from each ordered pair to represent the inputs to the function. This gives us:
Inputs: [-2, 6, -9, -12]
Step 2: Remove Duplicate Elements
Remove any duplicate elements to ensure each input is unique. After removing duplicates, we have:
Unique Inputs: [-9, -12, -2, 6]
Step 3: List the Unique Elements
Listing the unique elements extracted in step 2 gives us the domain of the function. The domain, sorted for clarity, is:
Domain: [-12, -9, -2, 6]
Final Answer:
The domain of the function, rounded to 0 decimal places where applicable, is: [-12, -9, -2, 6]