To determine whether the data in the diagram represents a function, we need to remember that for a relation to be a function, each element in the domain must map to exactly one element in the range.
If the diagram shows that any input in the domain corresponds to more than one output in the range, then it is not a function.
Given the responses listed, I'm unable to see the actual diagram, but based on the provided responses, we can analyze them:
- No, it is not a function. The domain is the set {8,7,6,5}. The range is the set {−1,3,2}.
- No, it is not a function. The domain is the set {−1,3,2}. The range is the set {8,7,6,5}.
- Yes, it is a function. The domain is the set {8,7,6,5}. The range is the set {−1,3,2}.
- Yes, it is a function. The domain is the set {-1, 3, 2}. The range is the set {8, 7, 6, 5}.
Without seeing the diagram, I cannot definitively say which response is correct, but I can advise you on how to choose the correct one:
- If each value in the domain correlates with exactly one value in the range, select one of the "Yes" options.
- If any value in the domain correlates with multiple values in the range, select one of the "No" options.
The domain consists of all the unique inputs, while the range consists of all the unique outputs based on the mapping in the relation. Once you verify which scenario fits the diagram, you can determine the correct answer accordingly.
1 answer