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Look at this set of ordered pairs:\newline(10,6)(10, 6)\newline(15,19)(15, 19)\newline(19,15)(19, 15)\newline(17,20)(17, 20)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(10,6)(10, 6)\newline(15,19)(15, 19)\newline(19,15)(19, 15)\newline(17,20)(17, 20)\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. Check for Repeated Elements: Step 22: Check the ordered pairs for any repeated first elements. The pairs are:\newline(10,6)(10, 6)\newline(15,19)(15, 19)\newline(19,15)(19, 15)\newline(17,20)(17, 20)\newlineNone of the first elements (inputs) repeat, so each input has only one output.
  3. Confirm Function Relation: Step 33: Since no input is associated with more than one output, the relation given by the ordered pairs is a function.

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