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Express each relation as a table, a graph, and a mapping. Then determine the domain and range. 1. {(-1,...

Express each relation as a table, a graph, and a mapping. Then determine the domain and range.
1. {(-1, -1), (1, 1), (2, 1), (3, 2)}
2. {(0, 4), (-4, -4), (-2, 3), (4, 0)}
3. {(3, -2), (1, 0), (-2, 4), (3, 1)}

Answer

  1. Table:
    X | Y
    -1 | -1
    1 | 1
    2 | 1
    3 | 2

    Graph: Plot the points (-1, -1), (1, 1), (2, 1), (3, 2) on a coordinate plane.

    Mapping: -1 → -1, 1 → 1, 2 → 1, 3 → 2

    Domain: {-1, 1, 2, 3}

    Range: {-1, 1, 2}

  2. Table:
    X | Y
    0 | 4
    -4 | -4
    -2 | 3
    4 | 0

    Graph: Plot the points (0, 4), (-4, -4), (-2, 3), (4, 0) on a coordinate plane.

    Mapping: 0 → 4, -4 → -4, -2 → 3, 4 → 0

    Domain: {0, -4, -2, 4}

    Range: {4, -4, 3, 0}

  3. Table:
    X | Y
    3 | -2
    1 | 0
    -2 | 4
    3 | 1

    Graph: Plot the points (3, -2), (1, 0), (-2, 4), (3, 1) on a coordinate plane.

    Mapping: 3 → -2, 1 → 0, -2 → 4, 3 → 1

    Domain: {3, 1, -2}

    Range: {-2, 0, 4, 1}

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