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How is the vertical line test used to determine if a graph is a function?

Choose the correct answer below.
OA. If no vertical line intersects the graph at more than one point, then the graph is not a function.
B. If no vertical line intersects the graph at more than one point, then the graph is a function.
OC. A vertical line drawn through the origin must intersect the graph at exactly one point.
OD. If a vertical line intersects the graph at more than one point at the same time, then the graph is a function.

1 Answer

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Final answer:

The vertical line test is used to determine if a graph is a function. If no vertical line intersects the graph at more than one point, then the graph is a function.


Step-by-step explanation:

The vertical line test is used to determine if a graph is a function. According to the test, if no vertical line intersects the graph at more than one point, then the graph is a function.

For example, let's consider the graph of a linear function, such as y = 2x + 3. If we draw a vertical line anywhere on the graph, it will intersect the graph at exactly one point, satisfying the test.

However, if we have a graph where a vertical line intersects at more than one point, such as a parabola, it fails the vertical line test and is not a function.


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