The image you provided shows the graph of a function, and it asks to determine the domain and range of the function using interval notation.

Domain:

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

From the graph:

• The curve starts from the left at $x = -2$ and goes to the right up to $x = 2$.
• Therefore, the domain is $[-2, 2]$.

Range:

The range of a function is the set of all possible output values (y-values) of the function.

From the graph:

• The lowest point on the curve is at $y = -2$, and the highest point is at $y = 2$.
• Therefore, the range is $[-2, 2]$.

Answer:

• Domain: $[-2, 2]$
• Range: $[-2, 2]$

Would you like further details on this or have any other questions?

Here are five related questions you might find interesting:

1. How do you determine the domain and range of a function from its equation?
2. What is the difference between open and closed intervals in domain and range?
3. How do you find the domain and range of more complex functions, such as those involving square roots or rational expressions?
4. How can the domain and range change if the function is transformed (e.g., shifted, stretched)?
5. What is the significance of domain and range in real-world applications?

Tip: Always pay attention to whether the graph or function includes endpoints (closed intervals) or if the endpoints are excluded (open intervals). This detail is crucial in correctly determining the domain and range.