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Look at this set of ordered pairs:\newline(0,16)(0, -16)\newline(14,3)(14, 3)\newline(14,7)(14, -7)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(0,16)(0, -16)\newline(14,3)(14, 3)\newline(14,7)(14, -7)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check xx-values: Check xx-values in the ordered pairs: (0,16),(14,3),(14,7)(0, -16), (14, 3), (14, -7).\newlinexx-values are 00, 1414, 1414.
  2. Notice repeated xx-value: Notice that the xx-value 1414 is repeated with different yy-values. This means the same input gives different outputs.
  3. Violation of function definition: A function must have a unique output for each input. Since 1414 maps to both 33 and 7-7, this violates the definition of a function.
  4. Relation not a function: Therefore, the relation is not a function.

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