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Look at this set of ordered pairs:\newline(18,17)(18, 17)\newline(9,16)(9, 16)\newline(1,12)(1, 12)\newline(16,15)(16, 15)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(18,17)(18, 17)\newline(9,16)(9, 16)\newline(1,12)(1, 12)\newline(16,15)(16, 15)\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 each pair) has exactly one output (second number in each pair).
  2. List Inputs: Step 22: List all the first elements (inputs) of the ordered pairs to check for duplicates:\newlineInputs: 18,9,1,1618, 9, 1, 16.
  3. Check for Duplicates: Step 33: Check if any input appears more than once. If an input repeats, it must map to the same output each time to still be considered a function.\newline- 1818 maps to 1717\newline- 99 maps to 1616\newline- 11 maps to 1212\newline- 1616 maps to 1515\newlineNo input is repeated, so there are no conflicts in mapping.

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