To determine which set of ordered pairs represents a function, we need to check if each input (the first element of the pair) is associated with exactly one output (the second element of the pair). If any input has more than one output, it does not represent a function.
Now, let's review each set:
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Set 1: {(-3, -3), (-2, -2), (-1, -1), (0, 0), (1, 1)}
- Each input (-3, -2, -1, 0, 1) corresponds to exactly one output (-3, -2, -1, 0, 1).
- This set is a function.
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Set 2: {(-3, -3), (-3, -2), (-3, -1), (-3, 0), (-4, -1)}
- The input -3 has multiple outputs: -3, -2, -1, and 0.
- This set is not a function.
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Set 3: {(-3, -3), (-3, -1), (-1, -2), (-1, -1), (-1, 0)}
- The input -3 has multiple outputs: -3 and -1.
- The input -1 also has multiple outputs: -2, -1, and 0.
- This set is not a function.
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Set 4: {(-3, -3), (-3, 0), (-1, -3), (0, -3), (-1, -1)}
- The input -3 has multiple outputs: -3 and 0.
- The input -1 also has multiple outputs: -3 and -1.
- This set is not a function.
In conclusion, the only set that represents a function is Set 1: {(-3, -3), (-2, -2), (-1, -1), (0, 0), (1, 1)}.