Question
Determine whether the relation is a function. Give the domain and the range for the relation.
Is this a function?
Yes
No domain is
?
The a comma to sepante answers as needed.)
Is this a function?
Yes
No domain is
The a comma to sepante answers as needed.)
Ask by Pierce Colon. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Yes, the relation is a function.
Domain:
Range:
Domain:
Range:
Solution
-
Determine if the relation is a function
A relation is a function if every input (first coordinate) corresponds to exactly one output (second coordinate). The given relation isHere, the inputs are, , and , and each appears only once. Therefore, no input is associated with more than one output.
Answer: Yes, it is a function. -
Determine the domain
The domain consists of all the inputs in the relation.
Inputs:, , .
Domain:. -
Determine the range
The range consists of all the outputs in the relation.
Outputs:, , .
Range:.
Comma-separated answers as requested:
Yes, ,
Yes,
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
This relation is indeed a function! In a function, each input (or domain element) must correspond to exactly one output (or range element). Here, every first element in the pairs—3, 4, and 8—maps uniquely to a second element—2, 6, and 8, respectively.
The domain of this relation is
, and the range is
. So, you have your inputs and outputs all in check—easy peasy!