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To determine the intervals where the function is continuous, we can analyze the graph provided. 

Looking at the graph:
- The function starts at \( x = -1 \), and there is a closed dot at the point \( (-1, 3) \). This indicates that the function is defined at \( x = -1 \).
- From there, the function extends continuously in the positive direction (rightward) without any breaks or jumps up to approximately \( x = 5 \).

Thus, the function is continuous from \( x = -1 \) to \( x = 5 \), inclusive of both endpoints since there are no breaks, jumps, or holes in this range.

The interval of continuity, in interval notation, is:  
\[ [-1, 5] \]

Would you like more details or have any questions?

Here are 5 relative questions to expand on this concept:
1. What is the formal definition of continuity at a point?
2. How can you tell if a function has a discontinuity based on a graph?
3. What is the difference between open and closed intervals in continuity?
4. Can a function be continuous on some intervals but discontinuous at certain points?
5. How does the concept of limits relate to continuity?

**Tip:** Always check for open and closed dots on graphs when determining continuity. Closed dots indicate the function is included at that point, while open dots mean the point is excluded.

Determine the intervals of the domain over which the function is continuous based on the given graph.

Learn how to determine the intervals of continuity for a function by analyzing its graph. This problem focuses on identifying the domain where the function is continuous and understanding the importance of open and closed points.

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