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Look at this set of ordered pairs:\newline(0,1)(0, 1)\newline(8,−15)(8, -15)\newline(8,1)(8, 1)\newline(15,15)(15, 15)\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(0,1)(0, 1)\newline(8,−15)(8, -15)\newline(8,1)(8, 1)\newline(15,15)(15, 15)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check xx-values: Check xx-values in the ordered pairs: (0,1)(0, 1), (8,–15)(8, –15), (8,1)(8, 1), (15,15)(15, 15).\newlinexx-values: 00, 88, 88, xx00.
  2. Notice repeated x-value: Notice that the x-value 88 is repeated.
  3. Different outputs for same input: Since the xx-value 88 repeats with different yy-values (–15–15 and 11), this means two different outputs for the same input.
  4. Relation not a function: A function must have exactly one output for each input. Therefore, this relation is not a function.

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