https://file.aiquickdraw.com/mathbot/file/17290407790685yhne5qf.jpg

find the domain and range of the following graph. 

Let's analyze the graph to determine its **domain** and **range**.

### **Domain**:
The domain represents the set of all possible \(x\)-values for which the graph exists.

- The graph starts at \(x = -10\) (a closed dot, meaning that value is included).
- The graph ends at \(x = 4\) (an open dot, meaning this value is not included).

So, the **domain** is:
\[
[-10, 4)
\]

### **Range**:
The range represents the set of all possible \(y\)-values for which the graph exists.

- The lowest point on the graph reaches \(y = -8\).
- The highest point on the graph reaches \(y = 7\) (since there is a closed dot at \(y = 7\)).

Thus, the **range** is:
\[
[-8, 7]
\]

Would you like further clarification or have any questions about this?

Here are some related questions:
1. How do we determine if a point is included in the domain or range?
2. Can the domain or range ever be unbounded for other types of graphs?
3. How would this graph change if both endpoints were open dots?
4. What is the significance of open and closed dots in graphing?
5. How would you write the domain and range if the graph extended infinitely?

**Tip**: When analyzing the domain, focus on the horizontal extent (x-axis), and for the range, observe the vertical spread (y-axis) of the graph.

Find the domain and range of the following graph.

Learn how to find the domain and range of a graph with step-by-step analysis. This example explores determining the set of possible x-values and y-values using endpoints and graph features. Suitable for Grades 8-10 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation