To find the domain and range of the function in the graph using interval notation, let's analyze the graph:

Domain:

The domain refers to all possible $x$-values (horizontal axis) for which the function is defined.

• From the graph, we can see that the function starts at $x = -4$ and ends at $x = 4$.
• There are no breaks or undefined points in the graph for this range of $x$-values.

Thus, the domain is: $\boxed{[-4, 4]}$

Range:

The range refers to all possible $y$-values (vertical axis) the function takes.

• From the graph, we can observe that the function starts at $y = 6$ (when $x = -4$) and goes down to $y = -2$ (when $x = 4$).

Thus, the range is: $\boxed{[-2, 6]}$

Let me know if you need further clarification or details!

Relative Questions:

1. What does it mean when a function has a closed interval for its domain?
2. How would the domain and range change if the graph had an open circle at one of its endpoints?
3. What is the difference between interval notation and set notation when describing domain and range?
4. Can a function have a domain that extends to infinity? How would that be represented in interval notation?
5. How does the slope of the line impact the range of a linear function?

Tip:

When using interval notation, a closed interval uses square brackets [ ], meaning the endpoints are included, while an open interval uses parentheses ( ), meaning the endpoints are not included.