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HaMath Student Application student/3686725/26747516/ac867c1593aed818ba216ef67e31e1ce Score: 1/2 Penalty: none Question Watch Video Which set of ordered pairs does not represent a function? Answer \( \{(-6,9),(-7,1),(-4,-2),(-4,5)\} \) Subm \( \{(-6,-8),(-9,8),(6,9),(5,8)\} \) \( \{(3,-8),(-4,0),(-9,-1),(8,0)\} \) \( \{(6,4),(-1,-9),(-9,1),(-2,-1)\} \) Sign out

Ask by Grant Davison. in the United States
Feb 25,2025

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Answer

The set {(-6,9), (-7,1), (-4,-2), (-4,5)} does not represent a function because the input -4 is paired with both -2 and 5.

Solution

A function must assign exactly one output for each input. In the set {(-6, 9), (-7, 1), (-4, -2), (-4, 5)}, the input -4 is paired with both -2 and 5, so it “produces” two outputs. This violates the definition of a function. Thus, the set that does not represent a function is: {(-6,9), (-7,1), (-4,-2), (-4,5)}

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In the realm of mathematics, a function is like a beautifully choreographed dance where each input has just one unique partner as the output. The set of ordered pairs you've identified, \( \{(-4,-2),(-4,5)\} \), throws a wrench in the routine because the same input, -4, is paired with two different outputs. This means it doesn't qualify as a function, putting it in the hot seat! In real-world scenarios, think of a function as a vending machine. You press one button (the input), and the machine delivers one snack (the output). If you press the same button multiple times and it dispenses different snacks each time, you might want to get a refund! Thus, it’s essential to ensure that every input corresponds to only one output to maintain the reliability of your mathematical vending machine!

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