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Look at this set of ordered pairs:\newline(5,13)(5, 13)\newline(5,14)(5, 14)\newline(0,9)(0, 9)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

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Q. Look at this set of ordered pairs:\newline(5,13)(5, 13)\newline(5,14)(5, 14)\newline(0,9)(0, 9)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define function and relation: A function is a relation where each input ( extit{x}-value) has exactly one output ( extit{y}-value). To determine if the given set of ordered pairs represents a function, we need to check if any extit{x}-value is associated with more than one extit{y}-value.
  2. Check ordered pairs: Looking at the set of ordered pairs:\newline(5,13)(5, 13)\newline(5,14)(5, 14)\newline(0,9)(0, 9)\newlineWe can see that the xx-value 55 is associated with two different yy-values 1313 and 1414. This means that for the same input of 55, there are two different outputs, which violates the definition of a function.
  3. Identify non-functionality: Since the xx-value 55 has more than one yy-value associated with it, the relation is not a function.

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