Questions: Is the following relation a function?

Is the following relation a function?
Transcript text: Is the following relation a function?
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem asks whether the given relation (graph) is a function. A function is defined as a relation where each input (x-value) has exactly one output (y-value).

Step 2: Apply the Vertical Line Test

To determine if the relation is a function, we can use the vertical line test. This test states that if a vertical line intersects the graph at more than one point, then the relation is not a function.

Step 3: Analyze the Graph

Examine the graph provided. Draw or imagine vertical lines at various points along the x-axis. If any vertical line intersects the graph at more than one point, the relation is not a function.

Final Answer

The graph shows that vertical lines intersect the graph at multiple points. Therefore, the relation is not a function.

Final Answer: N

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