Question

8 maps to 2
7 maps to 3
6 maps to 2
5 maps to 2
Nothing maps to -1

Determine whether the data in the diagram is a function, and state the domain and range.
(1 point)
O Yes, it is a function. The domain is the set (-1, 3, 2}. The range is the set (8, 7,0, 5).
O No, it is not a function. The domain is the set {8, 7,6, The The range is the set (-1,3, 2}.
O No, it is not a function. The domain is the set {-1, 3, 2). The range is the set (8, 7, 6, 5}.
O Yes, it is a function. The domain is the set {8, 7, 6,The range is the set {-1,3, 2).

Answer 1

To determine if the given mappings form a function, we need to check if each element in the domain (input values) maps to exactly one element in the range (output values).

Let's analyze the given mappings:

- \(8 \mapsto 2\)
- \(7 \mapsto 3\)
- \(6 \mapsto 2\)
- \(5 \mapsto 2\)

From these mappings, we see that:
- The input \(8\) maps to \(2\).
- The input \(7\) maps to \(3\).
- The input \(6\) maps to \(2\).
- The input \(5\) maps to \(2\).

Each input (8, 7, 6, 5) is associated with exactly one output. Therefore, this is indeed a function.

Now we will determine the domain and range:
- The **domain** (set of all input values) is \(\{8, 7, 6, 5\}\).
- The **range** (set of all output values) is \(\{2, 3\}\).

Now, let's check the provided options. None of the options correctly states that the domain is \(\{8, 7, 6, 5\}\) and the range is \(\{2, 3\}\), which indicates there might be a mistake in the provided options.

So, the correct answer is:
- Yes, it is a function. The domain is the set \(\{8, 7, 6, 5\}\). The range is the set \(\{2, 3\}\). (However, this specific choice is not listed among the options provided.)