Weber Graham
09/05/2023 · Junior High School
\[ \text { Relation } 3 \] \[ \{(h, r),(y, m),(r, m),(m, m)\} \] Function Not a function
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The given relation is not a function because it does not satisfy the definition of a function. In a function, each input (domain element) must be associated with exactly one output (range element).
In the given relation:
- The input \( h \) is associated with the output \( r \).
- The input \( y \) is associated with the output \( m \).
- The input \( r \) is associated with the output \( m \).
- The input \( m \) is associated with the output \( m \).
Since the input \( m \) is associated with two different outputs (\( r \) and \( m \)), the relation is not a function.
Quick Answer
The relation is not a function because one input is associated with two different outputs.
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