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

Question

8 to 2 -1
7 to 3
6 to 2
5 to 2
(1 point)
Responses

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

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

Not, it is not a function. The domain is the set {-1,2,3}. The range is the set {5,6,7,8}
Not, it is not a function. The domain is the set {-1,2,3}. The range is the set {5,6,7,8}

Not, it is not a function. The domain is the set {5,6,7,8}. The range is the set {-1,2,3}

Answer 1

To determine if the data in the diagram represents a function, we need to check if each input (domain) has a unique output (range).

In the data provided:

• Each output (such as the numbers 2, 3, and -1) is associated with one or more inputs (the numbers 5, 6, 7, 8).
• However, the output 2 is associated with multiple inputs (5, 6, and 8), meaning that we have multiple inputs mapping to the same output.

This implies that the data does not meet the definition of a function (where each input must map to exactly one output).

Here’s the summary:

• Not a function.
• Domain: The set of all inputs (numbers corresponding to the first column) is {5, 6, 7, 8}.
• Range: The set of all outputs is {-1, 2, 3}.

So the correct response would be: Not, it is not a function. The domain is the set {5, 6, 7, 8}. The range is the set {-1, 2, 3}.