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Look at this set of ordered pairs:\newline(10,7)(10, 7)\newline(13,9)(13, 9)\newline(10,17)(10, 17)\newline(9,3)(9, 3)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(10,7)(10, 7)\newline(13,9)(13, 9)\newline(10,17)(10, 17)\newline(9,3)(9, 3)\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 Inputs: Step 22: Check the ordered pairs for repeated inputs with different outputs. The pairs given are:\newline(10,7)(10, 7)\newline(13,9)(13, 9)\newline(10,17)(10, 17)\newline(9,3)(9, 3)\newlineHere, the input 1010 corresponds to two different outputs, 77 and 1717.
  3. Identify Violation of Function: Step 33: Since the input 1010 has more than one output, this violates the definition of a function. Therefore, the relation is not a function.

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