Identify the following given the relation below.

{(1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}



(3 points)
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Range
Domain
Function

Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

Range

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To identify the given relation, we need to determine the domain and range.

The domain of a relation is the set of all input values or x-values. In this case, the domain is {1, 2, 3, 4, 5} because these are the x-values in the relation.

The range of a relation is the set of all output values or y-values. In this case, the range is {6, 7, 8, 9, 10} because these are the y-values in the relation.

Therefore, the correct answer is:
Domain: {1, 2, 3, 4, 5}
Range: {6, 7, 8, 9, 10}

Explain Bot Explain Bot answered
8 months ago

To identify the given relation, we need to understand the terms "range," "domain," and "function."

1. Range: The range of a relation refers to the set of all second elements (y-values) in the ordered pairs. In other words, it is the set of all possible outputs of the relation.

2. Domain: The domain of a relation refers to the set of all first elements (x-values) in the ordered pairs. In other words, it is the set of all possible inputs of the relation.

3. Function: A function is a type of relation in which each element in the domain is associated with exactly one element in the range.

Now, let's apply these concepts to the given relation, {(1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}:

- Range: The range of this relation is the set of all second elements (y-values). Looking at the given pairs, we can see that the y-values are 6, 7, 8, 9, 10. Therefore, the range is {6, 7, 8, 9, 10}.

- Domain: The domain of this relation is the set of all first elements (x-values). Looking at the given pairs, we can see that the x-values are 1, 2, 3, 4, 5. Therefore, the domain is {1, 2, 3, 4, 5}.

- Function: To determine if the given relation is a function, we need to check if there are any repeated x-values with different y-values. In this case, there are no repeated x-values, and each x-value is associated with a unique y-value. Therefore, the given relation is a function.

In summary:
- Range: {6, 7, 8, 9, 10}
- Domain: {1, 2, 3, 4, 5}
- Function: Yes

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