The image asks to use the vertical line test to determine if the graph shown represents $y$ as a function of $x$.

Vertical Line Test:

The vertical line test is a way to determine if a graph represents a function. To use it:

• If any vertical line intersects the graph at more than one point, the graph does not represent a function.
• If a vertical line intersects the graph at only one point everywhere, then the graph does represent a function.

Given Graph:

In the graph shown, there is a vertical line which intersects the graph (the vertical axis) at multiple points along the same vertical line. This means that for one value of $x$, there are multiple values of $y$.

Conclusion:

This graph does not represent $y$ as a function of $x$, because the vertical line intersects the graph at more than one point.

So, the correct sentence would be:

"The graph is not a graph in which $y$ is a function of $x$, because a vertical line can be drawn such that it intersects the graph in more than one point."

Would you like any further clarification or details?

Here are five related questions for further exploration:

1. What is the horizontal line test and how is it different from the vertical line test?
2. Can a graph represent a function of $y$ instead of $x$? How would that change the test?
3. What are some real-life examples of graphs that fail the vertical line test?
4. How can we algebraically verify if an equation represents a function?
5. Can a relation be a function in one direction but not in the other?

Tip: Always remember, a function assigns exactly one output (y) for each input (x), which is why the vertical line test works!