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Look at this set of ordered pairs:\newline(16,5)(16, 5)\newline(0,5)(0, 5)\newline(9,−14)(9, -14)\newline(5,−5)(5, -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(16,5)(16, 5)\newline(0,5)(0, 5)\newline(9,−14)(9, -14)\newline(5,−5)(5, -5)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Identify xx-values: Look at the xx-values in the ordered pairs (16,5)(16, 5), (0,5)(0, 5), (9,–14)(9, –14), (5,–5)(5, –5).\newlinexx-values are 1616, 00, 99, and xx00.
  2. Check for repetition: Check if any xx-value is repeated in the list of ordered pairs.\newlineNo xx-value is repeated; all are unique.
  3. Determine function representation: Since no xx-value is repeated, each xx-value is paired with exactly one yy-value.\newlineThis means the set of ordered pairs represents a function.

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