Let's examine the graph to determine the domain and range of the function.

Domain:

The domain of a function refers to all the possible input values (x-values) over which the function is defined. From the graph, the function begins at around $x = -4$ and ends at around $x = 4$. The function appears continuous within this interval, meaning all x-values between these two points are part of the domain.

Thus, the domain is: $\text{Domain} = [-4, 4]$

Range:

The range refers to all possible output values (y-values) of the function. From the graph, the lowest point of the function is at $y = -5$, and the highest point is around $y = 2$. Therefore, the function covers all y-values between -5 and 2.

Thus, the range is: $\text{Range} = [-5, 2]$

Final Answer:

• Domain: $[-4, 4]$
• Range: $[-5, 2]$

Would you like further clarification on this, or any additional details?

Here are 5 related questions for further practice:

1. How can you determine the domain and range of a function from its equation?
2. What are the conditions for a function to have a restricted domain?
3. How do you describe a continuous function versus a discrete function on a graph?
4. Can the domain of a function ever be larger than its range?
5. How does the vertical line test help determine if a graph represents a function?

Tip: Always look for discontinuities (like holes or jumps) in the graph when determining the domain and range, as they can limit the intervals.