https://file.aiquickdraw.com/mathbot/file/1725293434870g9pla0o5.jpg

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.

Learn how to determine the domain and range of a function represented by a graph. This detailed explanation covers the analysis of x-values and y-values from the graph to define the domain and range accurately. Suitable for high school students studying functions and graph analysis.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation