https://file.aiquickdraw.com/mathbot/file/1724683236558fhduozdr.jpg

Use the graph to answer the question.

Which correctly describes the point of discontinuity of the function?

a. there is a jump discontinuity at x=-3
b. there is a removable discontinuity at x=1
c. there is a jump discontinuity at x=1
d. there is a removable discontinuity at x=-3

To determine the correct description of the point of discontinuity from the graph, let's analyze the provided image.

### Observations from the Graph:
1. The graph has a break (discontinuity) at \( x = 1 \). At this point, the graph has a hole, and then it continues from a different value. This indicates a **jump discontinuity**.
2. There is no apparent discontinuity at \( x = -3 \). The graph seems continuous at this point.

### Conclusion:
The correct answer is:
- **c. there is a jump discontinuity at \( x = 1 \)**

Would you like more details or have any further questions?

Here are some related questions to consider:
1. What is the difference between a jump discontinuity and a removable discontinuity?
2. How can you algebraically identify the location of a discontinuity in a function?
3. What types of functions typically exhibit jump discontinuities?
4. How does a removable discontinuity differ from an asymptote?
5. How can discontinuities affect the derivative of a function?

**Tip:** When dealing with graphs, carefully examine the behavior of the function at specific points to identify different types of discontinuities.

Explore how to identify different types of discontinuities in functions through graphical analysis. This page focuses on understanding jump discontinuities and removable discontinuities using specific examples from graph analysis.

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