Final answer:
To find the domain of a graph, table, or mapping diagram, identify the input values or independent variables. The relationship between these three representations is that they all represent mathematical functions or relations.
Step-by-step explanation:
The domain of a graph, table, or mapping diagram refers to the set of input values or independent variables for which the function or relation is defined. To find the domain:
- For a graph, identify the x-values that are included in the graph. These values determine the domain.
- For a table, examine the input column (usually the leftmost column) and list all the distinct values. These values form the domain.
- For a mapping diagram, look at the set of input values. These values make up the domain.
The relationship between graphs, tables, and mapping diagrams is that they all represent mathematical functions or relations. A graph visually displays the function or relation, while a table lists the input-output pairs, and a mapping diagram shows the input-output pairs as ordered pairs.