Question
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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.)

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:

Solution

  1. 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 is
    Here, 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.
  2. Determine the domain
    The domain consists of all the inputs in the relation.
    Inputs: , , .
    Domain: .
  3. Determine the range
    The range consists of all the outputs in the relation.
    Outputs: , , .
    Range: .
Comma-separated answers as requested:
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!

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