Questions: Is the following graph a graph of a function?

Is the following graph a graph of a function?
Transcript text: Is the following graph a graph of a function? ? $\vee$
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Solution

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Solution Steps

Step 1: Understanding the Vertical Line Test

A graph represents a function if and only if any vertical line intersects the graph at most once. This is called the vertical line test.

Step 2: Applying the Vertical Line Test to the Given Graph

The given graph is a circle. Many vertical lines (e.g., x = 0) intersect the circle at two points.

Step 3: Determining if the Graph Represents a Function

Since some vertical lines intersect the graph more than once, the graph fails the vertical line test.

Final Answer: No, the graph is not a graph of a function.

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