Questions: Find the domain and the range of the relation. Determine whether the relation is a function. (-5,5),(6,5),(-5,1),(-6,-9)

Find the domain and the range of the relation. Determine whether the relation is a function. (-5,5),(6,5),(-5,1),(-6,-9)
Transcript text: Find the domain and the range of the relation. Determine whether the relation is a function. \[ \{(-5,5),(6,5),(-5,1),(-6,-9)\} \]
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Solution

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Solution Steps

Step 1: Determining the Domain

The domain of the given relation is the set of all first elements from the ordered pairs. Thus, the domain is \(\{-6, -5, 6\}\).

Step 2: Determining the Range

The range of the given relation is the set of all second elements from the ordered pairs. Thus, the range is \(\{-9, 1, 5\}\).

Step 3: Checking if the Relation Represents a Function

The relation does not represent a function because there exists at least one input (domain element) that is associated with more than one output (range element).

Final Answer:

Domain: \(\{-6, -5, 6\}\), Range: \(\{-9, 1, 5\}\), Is Function: No

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