To determine the domain and range of the function represented by the graph, we need to analyze the x-values and y-values that the graph covers.

Domain (D)

The domain of a function is the set of all possible x-values. Looking at the graph:

1. The leftmost point of the graph appears to be at $x = -8$ (open circle, meaning $x = -8$ is not included).
2. The rightmost point of the graph appears to be at $x = 6$ (closed circle, meaning $x = 6$ is included).

Thus, the domain $D$ is: $-8 < x \leq 6$

Range (R)

The range of a function is the set of all possible y-values. From the graph:

1. The lowest point on the graph appears to be at $y = -8$ (closed circle, meaning $y = -8$ is included).
2. The highest point on the graph appears to be at $y = 6$ (closed circle, meaning $y = 6$ is included).

Thus, the range $R$ is: $-8 \leq y \leq 6$

Summary

• Domain (D): $-8 < x \leq 6$
• Range (R): $-8 \leq y \leq 6$

Would you like more details or have any questions?

Related Questions

1. What is the significance of open and closed circles in a graph?
2. How do you determine the domain and range from a graph with curves?
3. What are the different types of functions based on their graphs?
4. How do you find the domain and range of a function algebraically?
5. How does changing a function's equation affect its domain and range?

Tip

When analyzing a graph, always pay attention to whether endpoints are open or closed to accurately determine the domain and range.