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Check if each of the following is a function: 1. Mapping diagram with Input: -2, 0, 1 and Output: -1, 0, 2,...

Check if each of the following is a function:
1. Mapping diagram with Input: -2, 0, 1 and Output: -1, 0, 2, 3
2. Table with x: -1, 0, 1, 2 and y: 0, 2, 4, 8
3. Set of ordered pairs: {(-5, 1), (-2, 0), (0, 3), (5, 1)}
4. Graph with plotted points

Answer

  1. Mapping diagram: This is a function because each input is mapped to exactly one output.

  2. Table: This is a function because each x-value has a unique y-value.

  3. Set of ordered pairs: This is a function because each x-value is paired with exactly one y-value.

  4. Graph: This is a function because each vertical line drawn through the graph intersects it at most once (vertical line test).

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