SOLUTION: {(6, -6), (2, 2), (0, 8), (5, 2), (-5, 2)} Is the relation a function? ----------- ----------- ----------- ----------- -- {(8, -8), (-4, -8), (7, -1), (-7, -1)} Is the re

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Question 1197773: {(6, -6), (2, 2), (0, 8), (5, 2), (-5, 2)}
Is the relation a function?
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{(8, -8), (-4, -8), (7, -1), (-7, -1)}
Is the relation a function?
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{(-24, -141), (-9, -141), (133, -83), (-21, -83), (-9, -141), (133, -138)}
Is the relation a function?
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
One of them is one thing and the other two are the other thing.
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Answers:
  1. Yes it's a function
  2. Yes it's a function
  3. No, it's not a function

Explanation:
  1. We have a function since none of the x coordinates repeat themselves. Each x input leads to exactly one output.
  2. Similar reasoning as problem 1.
  3. The input x = 133 repeats itself. The input x = 133 leads to more than one output (y = -83 and y = -138). This is why we don't have a function. You can toss out or ignore the duplicate copy of (-9, -141)
As a visual alternative, you can use the vertical line test to see if you have a function or not.
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