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.