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Is this a relation a function? Justify your answer. {(-1,3)(1,0)(2,3)(4,6)}

Is this a relation a function? Justify your answer.\newline{(−1,3)(1,0)(2,3)(4,6)} \{(-1,3)(1,0)(2,3)(4,6)\}

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Full solution

Q. Is this a relation a function? Justify your answer.\newline{(−1,3)(1,0)(2,3)(4,6)} \{(-1,3)(1,0)(2,3)(4,6)\}
  1. Identify xx-values: Identify the xx-values from the given set of ordered pairs. The ordered pairs are {(−1,3),(1,0),(2,3),(4,6)}\{(-1, 3), (1, 0), (2, 3), (4, 6)\}. The xx-values are −1-1, 11, 22, and 44.
  2. Check for repeats: Check for any repeated xx-values. The xx-values are −1-1, 11, 22, and 44. There are no identical values among these xx-values.
  3. Determine function status: Determine if the relation is a function. A relation is a function if each xx-value corresponds to exactly one yy-value. Since there are no repeated xx-values, each xx-value is paired with only one yy-value. Therefore, the relation is a function.

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