A relation describes a function if each input (or x-value) corresponds to exactly one output (or y-value).
Let's analyze the options:
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A: {(0, 0), (0, 2), (2, 0), (2, 2)} - The input 0 has two outputs (0 and 2), which means this is not a function.
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B: {(-2, -3), (-3, -2), (2, 3), (3, 2)} - All inputs are unique, meaning each input has one output. This is a function.
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C: {(2, -1), (2, 1), (3, -1), (3, 1)} - The input 2 has two outputs (-1 and 1), so this is not a function.
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D: {(2, 2), (2, 3), (3, 2), (3, 3)} - The input 2 has two outputs (2 and 3), so this is not a function.
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E: {(4, 3), (1, 8), (4, 14), (9, 16)} - The input 4 has two outputs (3 and 14), so this is not a function.
The only option that describes a function is B: {(-2, -3), (-3, -2), (2, 3), (3, 2)}.