https://file.aiquickdraw.com/mathbot/file/1725988664623c3chq84e.jpg

The graph shown in the image does not represent a function because it fails the **vertical line test**. In the vertical line test, if any vertical line intersects the graph at more than one point, then the graph is not a function. In this case, vertical lines will intersect the graph at multiple points along the curve, meaning that the graph cannot be classified as a function.

The correct choice is:

**B. The graph is not that of a function.**

Would you like more details on any specific aspect of the problem or how to analyze such graphs? Here are 5 follow-up questions:

1. What is the vertical line test, and why does it matter for functions?
2. Can you explain how to determine the domain and range for a function graphically?
3. What are the intercepts and how are they found from a graph?
4. How do you identify symmetry in graphs (x-axis, y-axis, origin)?
5. What are some examples of graphs that are not functions?

**Tip:** Always remember that a function can only have one output (y-value) for each input (x-value).

Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find (a) its domain and range. (b) the intercepts, if any. (c) any symmetry with respect to the x-axis, y-axis, or the origin.

Learn how to determine if a graph represents a function using the vertical line test. This problem involves analyzing the graph to check for function properties, including domain, range, intercepts, and symmetry. Suitable for students in Grades 8-10.

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