Look at this table:x y12 204 1316 203 2011 13–10 1Is this relation a function?yesnoSubmit
Question
Look at this table:
x | y |
---|---|
12 | 204 |
13 | 16 |
20 | 11 |
203 | 201 |
1 |
Is this relation a function?
- yes
- no
Submit
Solution
Break Down the Problem
- Identify if each input (x) in the relation produces a single output (y).
- Check for duplicates in the x-values.
Relevant Concepts
To determine if a relation is a function:
- A relation is a function if every input is associated with exactly one output.
Analysis and Detail
-
From the given pairs in the table, list the x-values:
-
Next, check for any repeated x-values:
- None of the x-values listed are repeated, indicating that each x-value corresponds to a unique y-value.
Verify and Summarize
Since there are no duplicate x-values in the relation, it confirms that each input maps to a unique output.
Final Answer
Yes, this relation is a function.
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