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Look at this set of ordered pairs: \[ \begin{array}{l}(7,11) \\ (15,7) \\ (6,16)\end{array} \] Is this relation a function? yes no

Ask by Higgins Morrison. in the United States
Mar 19,2025

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This relation is a function.

Solución

To determine if the given set of ordered pairs represents a function, we need to check if each input (the first element of each pair) is associated with exactly one output (the second element of each pair). The ordered pairs are: 1. (7, 11) 2. (15, 7) 3. (6, 16) Now, let's analyze the inputs: - The input 7 corresponds to the output 11. - The input 15 corresponds to the output 7. - The input 6 corresponds to the output 16. Since all inputs (7, 15, and 6) are unique and each is associated with only one output, this relation satisfies the definition of a function. Therefore, the answer is **yes**, this relation is a function.

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Beyond the Answer

Yes, this relation is indeed a function! In a function, every input (x-coordinate) must map to exactly one output (y-coordinate). In this case, the inputs are 7, 15, and 6, which all correspond to unique outputs: 11, 7, and 16, respectively. There are no repeated x-values, confirming that each input is paired with only one output. Now, let’s dive into the interesting world of relations. Understanding functions can help you in various fields, from designing video games to optimizing shipping routes in logistics. Whether you're creating character stats or programming algorithms, grasping the function concept lays a strong foundation for tackling more complex mathematical challenges in your projects!

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