Question
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State the domain and range for the following relation. Then determine whether the relation represents a function. \( \{(3,-3),(4,-3),(5,-3),(6,-3)\} \) The domain of the relation is \( \} \). (Use a comma to separate answers as needed.)

Ask by Lynch Blake. in the United States
Jan 23,2025

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Answer

The domain is \( 3, 4, 5, 6 \) and the range is \( -3 \). This relation is a function because each input has exactly one output.

Solution

For the relation \( \{(3,-3), (4,-3), (5,-3), (6,-3)\} \): - **Domain:** \( 3, 4, 5, 6 \) - **Range:** \( -3 \) **Function Determination:** Yes, this relation represents a function. In a function, each element in the domain is associated with exactly one element in the range. Here, each input \( 3, 4, 5, \) and \( 6 \) maps to the single output \( -3 \).

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The domain of the relation is \( \{3, 4, 5, 6\} \). The range of the relation is \( \{-3\} \). Yes, this relation represents a function because each input (or domain value) corresponds to exactly one output (or range value). Now, isn't it fascinating how a relation can show such consistency? In this case, no matter which domain value you choose (3, 4, 5, or 6), you always get the same result of -3! Talk about a loyal output! In real-world scenarios, think about this relation as a group of friends all sharing the same favorite ice cream flavor! Each friend (domain) loves chocolate (range) – just like how each number corresponds to the same output in your relation. It's a fun way to examine how functions operate in everyday life!

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