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Determine the domain and the range of the relation, and tell whether the relation is a function. \( \{(5,2),(24,-3),(43,2),(5,4),(50,4)\} \) The domain is \( \{\square\} \). (Use a comma to separate answers as needed. Type each answer only once.) The range is \( \{\square\} \). (Use a comma to separate answers as needed. Type each answer only once.) Is this relation a function? Yes No

Ask by Gordon Mckenzie. in the United States
Feb 13,2025

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Domain: {5, 24, 43, 50} Range: {-3, 2, 4} Is this relation a function? No

Solución

Domain: {5, 24, 43, 50} Range: {-3, 2, 4} Is this relation a function? No Explanation: The domain is formed by the set of all first numbers in the ordered pairs: 5, 24, 43, and 50. The range is formed by the set of all second numbers: 2, -3, and 4. Notice that the number 5 appears twice in the domain with different outputs (2 and 4), which means the relation is not a function.

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The domain is \( \{5, 24, 43, 50\} \). The range is \( \{2, -3, 4\} \). Is this relation a function? No This relation isn't a function because the input value \(5\) corresponds to two different output values: \(2\) and \(4\). In a function, each input must have exactly one output. Think of it like trying to find your favorite ice cream flavor; you can only have one choice for each visit, right? In mathematics, the domain refers to all possible input values, while the range includes all possible output values. By identifying distinct elements in each pair, you build a clearer understanding of how inputs relate to outputs, making it easier to avoid confusion down the road!

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