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## Question:

Does this graph show a function? Explain how you know.

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A. Yes; the graph passes the vertical line test.

B. No; there are y-values that have more than one x-value.

C. Yes, there are no y values that have more than one x-value.

D. No; the graph fails the vertical line test.

## Answer:

The correct option is D. No, the graph fails the **vertical line test.**

### What is **vertical line test?**

The **vertical line test** is a** graphical method** of determining whether a **curve **in the plane represents the graph of a **function**. It is done by visually examining the number of intersections of the curve with vertical lines.

In the given **graph**, the graph of a **function **intersects the y axis twice.

Any **vertical **line in the x y plane must intersect the **graph **of a **function **at most once.

Thus, the correct option is D.

Learn more about **vertical line test.**

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