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Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a function? Select all that apply:\newline\{ ( 44 , 99 ) , ( 00 , \- 22 ) , ( 00 , 22 ) , ( 55 , 44 ) \}\newline\{ ( 55 , \- 55 ) , ( 55 , \- 44 ) , ( 77 , \- 22 ) , ( 33 , 88 ) \}\newline\{ ( 44 , 33 ) , ( 88 , 00 ) , ( 55 , 22 ) , ( \- 55 , 00 ) \}\newline\{ ( 66 , 99 ) , ( 99 , \- 44 ) , ( 66 , 11 ) , ( \- 55 , 1111 ) \}\newline\{ ( 44 , 1212 ) , ( 22 , 66 ) , ( \- 55 , 66 ) , ( 33 , \- 22 ) \}

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Q. Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a function? Select all that apply:\newline\{ ( 44 , 99 ) , ( 00 , \- 22 ) , ( 00 , 22 ) , ( 55 , 44 ) \}\newline\{ ( 55 , \- 55 ) , ( 55 , \- 44 ) , ( 77 , \- 22 ) , ( 33 , 88 ) \}\newline\{ ( 44 , 33 ) , ( 88 , 00 ) , ( 55 , 22 ) , ( \- 55 , 00 ) \}\newline\{ ( 66 , 99 ) , ( 99 , \- 44 ) , ( 66 , 11 ) , ( \- 55 , 1111 ) \}\newline\{ ( 44 , 1212 ) , ( 22 , 66 ) , ( \- 55 , 66 ) , ( 33 , \- 22 ) \}
  1. Identifying Functions: A function means each input xx-value has only one output yy-value. Let's check the first set: {(4,9),(0,2),(0,2),(5,4)}\{ (4, 9), (0, −2), (0, 2), (5, 4) \}. The input 00 has two different outputs, 2−2 and 22, so this set is not a function.
  2. Checking First Set: Now, let's check the second set: {(5,5),(5,4),(7,2),(3,8)} \{ (5, -5), (5, -4), (7, -2), (3, 8) \} . The input 55 has two different outputs, 5-5 and 4-4, so this set is also not a function.
  3. Checking Second Set: Next, we check the third set: \{ (4, 3), (8, 0), (5, 2), (\-5, 0) \} . Each input has a unique output, so this set is a function.
  4. Checking Third Set: Let's check the fourth set: {(6,9),(9,4),(6,1),(5,11)} \{ (6, 9), (9, −4), (6, 1), (−5, 11) \} . The input 66 has two different outputs, 99 and 11, so this set is not a function.
  5. Checking Fourth Set: Finally, we check the fifth set: {(4,12),(2,6),(5,6),(3,2)} \{ (4, 12), (2, 6), (−5, 6), (3, −2) \} . Each input has a unique output, so this set is a function.

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