The graph you uploaded depicts a function $f$, and the task is to determine its domain and range using interval notation.

1. Domain (x-values):

From the graph, the function starts at $x = -4$ (closed point, indicating that $x = -4$ is included) and extends to $x = 4$ (open point, meaning $x = 4$ is not included).

Thus, the domain of the function is: $[-4, 4)$

2. Range (y-values):

The function’s lowest point on the y-axis is $y = -4$ (closed point), and it reaches up to $y = 5$ (open point), indicating the maximum is just below 5 but doesn't include 5.

Thus, the range of the function is: $[-4, 5)$

Would you like further clarification or more details?

Here are 5 follow-up questions to deepen your understanding:

1. How does the closed point versus open point affect the domain or range?
2. Can you explain the difference between interval notation and set notation for describing domains?
3. How do we interpret the behavior of the function near the open point at $x = 4$?
4. Could the domain or range change if the function is shifted vertically or horizontally?
5. How can the continuity of the function be affected by open versus closed intervals?

Tip: Always check for both closed and open points in graphs, as they indicate whether a particular value is included in the domain or range.