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Look at this set of ordered pairs:\newline(2,14)(2, 14)\newline(2,15)(2, 15)\newline(14,6)(14, 6)\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(2,14)(2, 14)\newline(2,15)(2, 15)\newline(14,6)(14, 6)\newlineIs this relation a function?\newlineChoices:\newline(A)yes\newline(B)no
  1. Function Definition: A relation is a function if each input (first component of the ordered pairs) has exactly one output (second component of the ordered pairs). To determine if the given set of ordered pairs is a function, we need to check if any input value is associated with more than one output value.
  2. Check Ordered Pairs: Looking at the set of ordered pairs:\newlineegin{align*}\newline&(22, 1414)(\newline\)&(22, 1515)(\newline\)&(1414, 66)\newline\end{align*}\newlineWe can see that the input value 22 is associated with two different output values, 1414 and 1515.
  3. Identify Multiple Outputs: Since the input value 22 has more than one output value associated with it, the relation is not a function.

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