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Look at this set of ordered pairs:\newline(2,14)(2, 14)\newline(10,12)(10, 12)\newline(3,−19)(3, -19)\newlineIs this relation a function?\newlineChoices:\newline[[yes]\text{[[yes]}[no]]\text{[no]]}

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Full solution

Q. Look at this set of ordered pairs:\newline(2,14)(2, 14)\newline(10,12)(10, 12)\newline(3,−19)(3, -19)\newlineIs this relation a function?\newlineChoices:\newline[[yes]\text{[[yes]}[no]]\text{[no]]}
  1. Check xx-values repetition: Check if any xx-value is repeated in the ordered pairs: (2,14)(2, 14), (10,12)(10, 12), (3,–19)(3, –19).\newlinexx-values: 22, 1010, 33.\newlineNo xx-value is repeated.
  2. Verify one-to-one pairing: Since no xx-value is repeated, each xx-value is paired with exactly one yy-value. This means every input (xx) has only one output (yy), which is the definition of a function.
  3. Confirm function relation: Therefore, the relation given by the ordered pairs is a function.

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