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Look at this set of ordered pairs:\newline(13,19)(13, 19)\newline(0,12)(0, 12)\newline(15,14)(15, 14)\newline(7,8)(7, 8)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

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Q. Look at this set of ordered pairs:\newline(13,19)(13, 19)\newline(0,12)(0, 12)\newline(15,14)(15, 14)\newline(7,8)(7, 8)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define Function: Define what a function is in terms of ordered pairs.\newlineA relation is a function if each input (first component of the ordered pairs) is associated with exactly one output (second component of the ordered pairs). This means that in a function, no input value can be paired with more than one output value.
  2. Examine Ordered Pairs: Examine the set of ordered pairs to see if any input value is repeated with different output values.\newlineThe given set of ordered pairs is:\newline(13,19)(13, 19)\newline(0,12)(0, 12)\newline(15,14)(15, 14)\newline(7,8)(7, 8)\newlineWe need to check if any first component (input) is repeated with a different second component (output).
  3. Verify Uniqueness: Verify the uniqueness of each input's output.\newlineLooking at the ordered pairs, we see that:\newline- The input 1313 is paired with the output 1919.\newline- The input 00 is paired with the output 1212.\newline- The input 1515 is paired with the output 1414.\newline- The input 77 is paired with the output 88.\newlineNone of the input values are repeated with different output values.
  4. Conclude Relation: Conclude whether the relation is a function based on the examination.\newlineSince no input value is paired with more than one output value, the relation given by the set of ordered pairs is a function.

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