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To determine where the function in the graph is discontinuous, we need to look for points where the function either jumps, has an infinite value, or is undefined. From the graph:

- At \( x = -2 \), the function is undefined because the graph shows a vertical asymptote.
- At \( x = 0 \), the function is also undefined due to another vertical asymptote.
- At \( x = 2 \), the graph shows another vertical asymptote, meaning the function is also discontinuous at this point.

Thus, the function is discontinuous at \( x = -2 \), \( x = 0 \), and \( x = 2 \).

Therefore, the correct answer is **B. \( x = -2 \), \( x = 0 \), \( x = 2 \)**.

Would you like more details about why these points cause discontinuities or have any questions about the graph?

Here are 5 related questions for further exploration:
1. What is a vertical asymptote and how does it cause discontinuity?
2. How can you determine if a function is continuous at a certain point?
3. What other types of discontinuities exist besides those caused by vertical asymptotes?
4. Can a function have removable discontinuities, and what would those look like?
5. How do horizontal asymptotes differ from vertical asymptotes in terms of function behavior?

**Tip:** When identifying points of discontinuity, always check for vertical asymptotes, jumps, and points where the function is undefined.

Find all points where the function is discontinuous.

Analyze the graph of a function to find points of discontinuity. Understand how vertical asymptotes at x = -2, x = 0, and x = 2 cause discontinuity. Perfect for students in Grades 11-12 studying limits and continuity.

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