Questions: Decide whether the relation defined by the graph to the right defines a function, and give the domain and range. Does the graphed relation define a function? Yes No What is the domain of the graphed relation? (Type your answer in interval notation.)

Decide whether the relation defined by the graph to the right defines a function, and give the domain and range. Does the graphed relation define a function? Yes No What is the domain of the graphed relation? (Type your answer in interval notation.)
Transcript text: Decide whether the relation defined by the graph to the right defines a function, and give the domain and range. Does the graphed relation define a function? Yes No What is the domain of the graphed relation? $\square$ (Type your answer in interval notation.)
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Solution

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Solution Steps

Step 1: Determine if the Relation Defines a Function

To determine if the graphed relation defines a function, we use the vertical line test. If any vertical line intersects the graph at more than one point, the relation is not a function.

In this graph, vertical lines intersect the graph at multiple points, indicating that the relation is not a function.

Step 2: Identify the Domain of the Graphed Relation

The domain of a relation is the set of all possible x-values. From the graph, the x-values range from -6 to 6.

Step 3: Identify the Range of the Graphed Relation

The range of a relation is the set of all possible y-values. From the graph, the y-values range from -2 to 2.

Final Answer

  • Does the graphed relation define a function? No
  • Domain: [-6, 6]
  • Range: [-2, 2]
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