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Look at this set of ordered pairs:\newline(19,14)(19, 14)\newline(6,13)(6, 13)\newline(14,7)(14, 7)\newline(10,5)(10, 5)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(19,14)(19, 14)\newline(6,13)(6, 13)\newline(14,7)(14, 7)\newline(10,5)(10, 5)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check Inputs: To determine if a set of ordered pairs represents a function, we need to check if each input (first element of each ordered pair) maps to exactly one output (second element of each ordered pair). If an input is paired with more than one output, then the relation is not a function.
  2. List Inputs: Let's list the first elements of each ordered pair, which represent the inputs:\newline19,6,14,1019, 6, 14, 10\newlineNow, let's check if any of these inputs appear more than once.
  3. Review Inputs: After reviewing the list of inputs, we can see that each input is unique and does not repeat. This means that no input is associated with more than one output.
  4. Check Unique Outputs: Since each input has a unique output, the set of ordered pairs meets the definition of a function. Therefore, the relation is a function.

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