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Look at this set of ordered pairs:\newline(16,16)(16, 16)\newline(16,9)(16, 9)\newline(12,15)(12, 15)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

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Q. Look at this set of ordered pairs:\newline(16,16)(16, 16)\newline(16,9)(16, 9)\newline(12,15)(12, 15)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand function definition: Step 11: Understand the definition of a function. A relation is a function if each input (xx-value) has exactly one output (yy-value).
  2. Examine ordered pairs: Step 22: Examine the given ordered pairs for repeated xx-values with different yy-values. The pairs are (16,16)(16, 16), (16,9)(16, 9), and (12,15)(12, 15).
  3. Identify repeated xx-values: Step 33: Notice that the xx-value 1616 appears with two different yy-values: 1616 and 99. This means that the same input gives different outputs.
  4. Violation of function definition: Step 44: Since the same xx-value (1616) maps to more than one yy-value, this violates the definition of a function. Therefore, the relation is not a function.

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