To determine whether the data in the diagram represents a function, we can analyze how the elements from the domain (the left oval) are paired with elements from the range (the right oval).
In this case:
- The left oval contains the numbers 8, 7, 6, and 5.
- The right oval contains the numbers -1, 3, and 2.
For a relation to be a function, each input from the domain must correspond to exactly one output from the range. If any input corresponds to multiple outputs, then the relation is not a function.
Since the context of how these numbers relate to one another isn't provided, it is assumed that each number from the left oval can only pair with one number from the right oval, or we interpret this as they are part of a set to determine domain and range.
Given the choices:
- If it is assumed that each number in the left oval can correspond to any one number in the right oval without repeating pairs, then it would be a function.
- If there is any overlap or multiple outputs for any given input number, it would not be a function.
Since we don't have specific connections and we cannot conclusively say if one element links to multiple others, we will assert function properties based on standard definitions.
Thus:
- If each number from the left can only pair with one number from the right, then Yes, it is a function.
- The domain is the set of inputs, which are {8, 7, 6, 5}.
- The range is the set of outputs, which are {-1, 3, 2}.
Thus the most appropriate response is:
Yes, it is a function. The domain is the set {8, 7, 6, 5}. The range is the set {-1, 3, 2}.
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