The image shows a graph and requests to state the domain and range using interval notation.

Domain:

The domain refers to the set of all possible x-values (horizontal axis values) the function can take.

Looking at the graph:

• The x-values stretch from $-2$ to $2$.

Thus, the domain in interval notation is: $[-2, 2]$

Range:

The range refers to the set of all possible y-values (vertical axis values) the function can take.

From the graph:

• The y-values go from $-2$ to $2$.

Thus, the range in interval notation is: $[-2, 2]$

Let me know if you'd like more details on this or have any further questions.

Here are five related questions to extend your understanding:

1. How do you find the domain and range of more complex functions?
2. What is the difference between open and closed intervals in notation?
3. How does the shape of a curve affect its domain and range?
4. How can functions with restrictions (like square roots or fractions) affect the domain?
5. What is the domain and range of a linear function like $y = 2x + 3$?

Tip: When identifying the range and domain, always check the endpoints and whether the graph includes or excludes them (using closed brackets $[ ]$ or open brackets $( )$).