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Look at this set of ordered pairs:\newline(18,0)(18, 0)\newline(9,14)(9, 14)\newline(12,16)(12, 16)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(18,0)(18, 0)\newline(9,14)(9, 14)\newline(12,16)(12, 16)\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). We need to check if any xx-value in the set of ordered pairs repeats with a different yy-value.
  2. List xx-values: List the xx-values from the ordered pairs.\newlineFrom the pairs (18,0)(18, 0), (9,14)(9, 14), and (12,16)(12, 16), the xx-values are 1818, 99, and 1212.
  3. Check repeats: Check for repeated xx-values.\newlineThe xx-values 1818, 99, and 1212 are all different. There are no repeats, so each xx-value is paired with exactly one yy-value.
  4. Conclude function: Conclude if the relation is a function.\newlineSince no xx-value is repeated with a different yy-value, the relation is a function.

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