To determine whether the data represents a function, we need to analyze the two sets of numbers in the ovals. A function pairs each element from one set (the domain) with exactly one element from another set (the range).
In this case, the left oval contains the numbers {8, 7, 6, 5} and the right oval contains the numbers {-1, 3, 2}.
- The left oval (which we can consider as domain) contains four distinct values, while the right oval (considered as range) contains three distinct values.
- Since there are more unique values in the domain than in the range, not every input (from the left oval) can have a unique output from the right oval, which indicates that multiple inputs might have to map to the same output.
To determine if it's a function:
- If each number from the left oval can map to exactly one number in the right oval, it could be a function.
- If any number from the left oval could map to two or more numbers from the right oval, it is not a function.
Based on the information provided:
- The mapping (how the numbers correspond) is not specified, so we cannot definitively say it forms a function without knowing how the numbers pair.
- However, since there are more domain values than range values, it suggests that it cannot be a function.
As such, the correct response would be:
No, it is not a function. The domain is the set {8, 7, 6, 5}. The range is the set {−1, 3, 2}.
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