To find the domain and range of the function shown in the graph, I’ll analyze the visual data.

Domain

The domain of a function represents all possible $x$-values for which the function is defined. From the graph:

• The $x$-values start at $-5$ (inclusive) and end at $5$ (inclusive).
• Therefore, the domain is: $\text{Domain: } [-5, 5]$

Range

The range of a function represents all possible $y$-values the function can take. From the graph:

• The $y$-values span from $-4$ (minimum value) to $5$ (maximum value).
• Therefore, the range is: $\text{Range: } [-4, 5]$

Would you like a breakdown of how to determine domain and range visually?

Related Questions

1. How do you determine the domain and range of a function from its equation instead of a graph?
2. Can the domain and range ever be infinite? What does that mean in practical terms?
3. What are some examples of functions with restricted domains?
4. How can you verify the range of a function algebraically?
5. What is the significance of closed intervals (e.g., $[a, b]$) versus open intervals (e.g., $(a, b)$)?

Tip

When analyzing graphs, carefully observe endpoints. Closed dots indicate the values are included (part of the domain or range), while open dots indicate the values are excluded.