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Look at this set of ordered pairs:\newline(10,11)(10, 11)\newline(10,12)(10, 12)\newline(10,−13)(10, -13)\newline(15,9)(15, 9)\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(10,11)(10, 11)\newline(10,12)(10, 12)\newline(10,−13)(10, -13)\newline(15,9)(15, 9)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check xx-values: Check the xx-values of the ordered pairs: (10,11)(10, 11), (10,12)(10, 12), (10,–13)(10, –13), (15,9)(15, 9).\newlinexx-values are: 1010, 1010, 1010, xx00.
  2. Identify repeating xx-value: Determine if any xx-value repeats.\newlineThe xx-value 1010 repeats three times.
  3. Determine if function: Decide if the relation is a function based on the definition of a function.\newlineA function must have only one yy-value for each xx-value.\newlineSince the xx-value 1010 has three different yy-values, this is not a function.

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