Question
Domain Range
0 1
0 1
6 3
8 4
Is this a function
0 1
0 1
6 3
8 4
Is this a function
Answers
GPT-4o mini
To determine whether a set of ordered pairs represents a function, we need to check if every element in the domain maps to exactly one element in the range.
In your data, the pairs seem to be:
1. \(0 \rightarrow 1\)
2. \(0 \rightarrow 1\) (duplicate)
3. \(6 \rightarrow 3\)
4. \(8 \rightarrow 4\)
The first point shows that \(0\) maps to \(1\). The second point is also \(0\) mapping to \(1\), which does not introduce a new output; it just confirms that \(0\) maps to \(1\) regardless of repetition.
Next, we see:
- \(6\) maps to \(3\)
- \(8\) maps to \(4\)
Since there are no instances of \(0\) mapping to multiple different outputs and each input has a unique output, this set of points does indeed represent a function.
In conclusion, yes, this set of relations is a function.
In your data, the pairs seem to be:
1. \(0 \rightarrow 1\)
2. \(0 \rightarrow 1\) (duplicate)
3. \(6 \rightarrow 3\)
4. \(8 \rightarrow 4\)
The first point shows that \(0\) maps to \(1\). The second point is also \(0\) mapping to \(1\), which does not introduce a new output; it just confirms that \(0\) maps to \(1\) regardless of repetition.
Next, we see:
- \(6\) maps to \(3\)
- \(8\) maps to \(4\)
Since there are no instances of \(0\) mapping to multiple different outputs and each input has a unique output, this set of points does indeed represent a function.
In conclusion, yes, this set of relations is a function.