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Look at this set of ordered pairs:\newline(14,2)(14, 2)\newline(−19,16)(-19, 16)\newline(5,16)(5, 16)\newline(−19,10)(-19, 10)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Look at this set of ordered pairs:\newline(14,2)(14, 2)\newline(−19,16)(-19, 16)\newline(5,16)(5, 16)\newline(−19,10)(-19, 10)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Identify repeated xx-value: Notice that the xx-value –19–19 is repeated with different yy-values (1616 and 1010).\newlineThis means two different outputs for the same input, which violates the definition of a function.
  2. Violation of function definition: Since a function must have only one output for each input, the relation is not a function.

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