Ortega Todd
05/17/2024 · High School

\[ \text { Relation } 4 \] \[ \{(-7, j),(7, m),(6, j),(7, j)\} \] Function Not a function

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To determine whether the given relation is a function, we need to check if each input (the first element of each ordered pair) is associated with exactly one output (the second element of each ordered pair). The given relation is: \[ \{(-7, j), (7, m), (6, j), (7, j)\} \] Now, let's analyze the inputs: - The input \(-7\) is associated with \(j\). - The input \(7\) is associated with both \(m\) and \(j\). - The input \(6\) is associated with \(j\). Since the input \(7\) has two different outputs (\(m\) and \(j\)), this violates the definition of a function, which states that each input must map to exactly one output. Therefore, the relation is **not a function**.

Quick Answer

The relation is not a function because one input has two different outputs.
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