Two ovals side by side. The left oval contains numbers 8, 7, 6, and 5. The right oval contains numbers negative 1, 3, and 2.

Determine whether the data in the diagram is a function, and state the domain and range.

(1 point)
Responses

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 {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}.
No, it is not a function. The domain is the set {-1,3,2}. The range is the set {8,7,6,5}.

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 {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}.
Yes, it is a function. The domain is the set {-1,3,2}. The range is the set {8,7,6,5}.

1 answer

To determine whether the data in the diagram constitutes a function, we need to consider the definition of a function: a relationship where each input is associated with exactly one output.

In this case, we are looking at two ovals:

  • The left oval contains the numbers 8, 7, 6, and 5 (which we can assume are inputs).
  • The right oval contains the numbers -1, 3, and 2 (which we can assume are outputs).

To establish whether this setup is a function, we need to verify that each number in the left oval corresponds to one and only one number in the right oval. However, there is not enough information in your description indicating how the values are paired.

Without pairings provided, we cannot definitively state that this is a function. Typically, if we assign multiple outputs to a single input, it will violate the definition of a function.

Given the usual interpretation of this type of problem, if we assume random pairings without any concrete relationships specified, we could end up with multiple outputs for certain inputs, which would result in it not being a function.

Thus, based on the provided information:

No, it is not a function. The domain is the set {8, 7, 6, 5}. The range is the set {-1, 3, 2}.