Question

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

A) Relation 1: Table, Graph, Mapping
Domain: {0, -3, 6, -1}
Range: {0, 2, 4, 1}
B) Relation 2: Table, Graph, Mapping
Domain: {-1, 3, -1, -3}
Range: {3, -6, -8, -7}

Answer 1

For Relation 1, the correct representation is:

Table:

| x | y |

| --- | --- |

| 0 | 0 |

| -3 | 2 |

| 6 | 4 |

| -1 | 1 |

Graph: A scatter plot connecting the points (0, 0), (-3, 2), (6, 4), and (-1, 1).

Mapping: {(0, 0), (-3, 2), (6, 4), (-1, 1)}

Domain: {0, -3, 6, -1}

Range: {0, 2, 4, 1}

For Relation 2, the given representation is incorrect, and the correct details are needed.

Step-by-step explanation:

For Relation 1, the table, graph, and mapping are consistent, showing a clear correspondence between the input values (x) and the output values (y). The domain is the set of all x-values, and the range is the set of all y-values.

However, for Relation 2, the given domain and range are contradictory. The domain {-1, 3, -1, -3} contains repeated values, and the range {3, -6, -8, -7} lacks clarity due to the negative values. The correct representation needs accurate data without repetitions. The table, graph, and mapping should be constructed based on the correct information provided.

In summary, Relation 1 is accurately represented, demonstrating a well-defined relationship between the domain and range. For Relation 2, clarification and correction of the provided domain and range are required for a valid representation.