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Look at this set of ordered pairs:\newline(6,13)(6, 13)\newline(6,4)(6, 4)\newline(11,19)(11, 19)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(6,13)(6, 13)\newline(6,4)(6, 4)\newline(11,19)(11, 19)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand Function Definition: Step 11: Understand what a function is in terms of ordered pairs. A relation is a function if each input (first number in the pair) has exactly one output (second number in the pair).
  2. Examine Given Ordered Pairs: Step 22: Examine the given ordered pairs for repeated inputs:\newlineegin{align*}(66, 1313), (66, 44), (1111, 1919).\newline\end{align*}\newlineHere, the input 66 corresponds to two different outputs, 1313 and 44.
  3. Determine Relation Functionality: Step 33: Determine if the relation is a function based on the definition from Step 11. Since the input 66 has more than one output, this relation is not a function.

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