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Look at this set of ordered pairs:\newline(12,5)(12, 5)\newline(12,−8)(12, -8)\newline(−15,5)(-15, 5)\newline(8,5)(8, 5)\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(12,5)(12, 5)\newline(12,−8)(12, -8)\newline(−15,5)(-15, 5)\newline(8,5)(8, 5)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check xx-values: Check the xx-values of the ordered pairs: (12,5)(12, 5), (12,–8)(12, –8), (–15,5)(–15, 5), (8,5)(8, 5).\newlinexx-values: 1212, 1212, –15–15, xx00.
  2. Check for repetition: See if any xx-value is repeated.\newlineThe xx-value 1212 is repeated.
  3. Determine if function: Determine if the relation is a function.\newlineA function must have only one yy-value for each xx-value.\newlineSince the xx-value 1212 has two different yy-values (55 and –8–8), it's not a function.

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