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Look at this set of ordered pairs:\newline(19,14)(19, 14)\newline(19,3)(19, 3)\newline(12,11)(12, 11)\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(19,14)(19, 14)\newline(19,3)(19, 3)\newline(12,11)(12, 11)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check Input-Output Relationship: A relation is a function if each input (first component of the ordered pairs) has exactly one output (second component of the ordered pairs). Let's check if each input in the given set of ordered pairs has only one corresponding output.
  2. Given Ordered Pairs: The given set of ordered pairs is:\newline(19,14)(19, 14)\newline(19,3)(19, 3)\newline(12,11)(12, 11)\newlineWe need to check if the first component (input) of any ordered pair is repeated with a different second component (output).
  3. Identify Repeated Inputs: We can see that the input 1919 appears twice with two different outputs: 1414 and 33. This means that for the input 1919, there are two different outputs, which violates the definition of a function.
  4. Violation of Function Definition: Since the input 1919 has more than one output, the relation is not a function.

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