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Look at this set of ordered pairs:\newline(16,17)(16, 17)\newline(17,2)(17, 2)\newline(12,11)(12, 11)\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(16,17)(16, 17)\newline(17,2)(17, 2)\newline(12,11)(12, 11)\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: (16,17)(16, 17), (17,2)(17, 2), (12,11)(12, 11), (12,15)(12, 15). Here, the xx-value 1212 appears twice with different yy-values (1111 and 1515).
  3. Determine Relation Type: Step 33: Determine if the relation is a function. Since the xx-value 1212 maps to two different yy-values, this violates the definition of a function.

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