To determine the range of a relation represented in a graph, you'll need to look at the set of all possible output values (typically the y-values) that are covered by the graph.
Here are the steps to find the range from a graph:
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Identify the Minimum and Maximum Values: Look for the lowest and highest points the graph reaches on the y-axis.
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Consider the Type of Graph: If the relation is represented as a continuous curve, the range will include all y-values between the minimum and maximum values. In the case of discrete points (like dots or specific values plotted), the range will consist only of the y-values corresponding to those points.
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Note Open or Closed Ends: Check if the endpoints of the range are included (closed interval) or not (open interval). This can usually be determined by the presence of filled or hollow dots on the graph.
Once you've assessed these aspects, you can express the range in interval notation. For example, if the lowest y-value is -3 and the highest is 5, and they are both included in the range, you would represent the range as:
\[ [-3, 5] \]
If you need assistance with a specific graph, please provide a description or details!