Use the image to answer the question.

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

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 left brace negative 1 comma 3 comma 2 right brace . The range is the set left brace 8 comma 7 comma 6 comma 5 right brace .

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 left brace 8 comma 7 comma 6 comma 5 right brace . The range is the set left brace negative 1 comma 3 comma 2 right brace .

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 left brace 8 comma 7 comma 6 comma 5 right brace . The range is the set left brace negative 1 comma 3 comma 2 right brace .

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 left brace negative 1 comma 3 comma 2 right brace . The range is the set left brace 8 comma 7 comma 6 comma 5 right brace .
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1 answer

To determine if the data represented in the two ovals is a function, we need to check if each element in the domain (the left oval) corresponds to exactly one element in the range (the right oval).

Based on the description:

  • The left oval contains the numbers 8, 7, 6, and 5.
  • The right oval contains the numbers -1, 3, and 2.

A function is defined as a relation where each input (domain) is associated with exactly one output (range). In this case, since the left oval contains four elements (8, 7, 6, 5) and the right oval contains three elements (-1, 3, 2), it is unclear how these two sets are mapped to each other without more information.

However, since the left oval has more unique entries than the right, we can conclude that the mapping cannot satisfy the function definition (each input must map to a unique output).

Therefore, the answer is:

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