To determine whether a data diagram (like a set of points or a graph) represents a functional relationship, you can apply the vertical line test: if any vertical line crosses the graph more than once, then the relationship is not a function.
To provide you with a more specific answer regarding the domain and range, I would need details about the data points or the diagram you are referring to.
General Steps to Determine Functionality, Domain, and Range:
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Functionality:
- Vertical Line Test: Check if any vertical line intersects the diagram at more than one point. If it does, the relation is not a function.
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Domain:
- List all possible input values (usually the x-values). This can include all x-values represented in the diagram.
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Range:
- List all possible output values (usually the y-values). This can include all y-values represented in the diagram.
If you can describe the diagram or provide specific data points, I can help analyze it further!