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Look at this set of ordered pairs:\newline(3,1)(3, 1)\newline(18,6)(18, 6)\newline(18,7)(18, 7)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(3,1)(3, 1)\newline(18,6)(18, 6)\newline(18,7)(18, 7)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define Function: Understand the definition of a function.\newlineA relation is a function if each input (xx-value) has exactly one output (yy-value). Check if any xx-value in the set of ordered pairs is repeated with different yy-values.
  2. Examine Ordered Pairs: Examine the ordered pairs.\newlineThe ordered pairs given are (3,1)(3, 1), (18,6)(18, 6), and (18,7)(18, 7). Here, the xx-value 1818 is associated with two different yy-values, 66 and 77.
  3. Determine Functionality: Determine if the relation is a function.\newlineSince the xx-value 1818 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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