https://file.aiquickdraw.com/mathbot/file/1729482449398a2vrdgfu.jpg

The graph in your image appears to show a line extending from the top left corner to the bottom right, crossing through points on the grid. To determine the **domain** and **range** of the graph in interval notation, we need to observe where the graph starts and ends along both the x-axis (domain) and the y-axis (range).

### Domain:
The domain refers to all possible x-values that the graph covers. From the graph:
- The line extends infinitely to the left (negative x-direction).
- On the right, the line seems to stop at \( x = 3 \).

Thus, the domain is from negative infinity to 3, inclusive of 3. So, in interval notation, the domain is:
\[
(-\infty, 3]
\]

### Range:
The range refers to all possible y-values that the graph covers. From the graph:
- The line extends infinitely downward (negative y-direction).
- It stops at \( y = 2 \).

Thus, the range is from negative infinity to 2, inclusive of 2. So, in interval notation, the range is:
\[
(-\infty, 2]
\]

Would you like further details on this, or do you have any other questions? 

Here are 5 related questions to explore:
1. What is the difference between a function's domain and range?
2. How would the domain and range change if the line continued past \( x = 3 \) and \( y = 2 \)?
3. What happens to the domain and range if the graph is a vertical line instead of a diagonal one?
4. How can the concept of domain and range apply to real-world problems?
5. What other types of graphs have similar domain and range restrictions?

**Tip:** Always check for open or closed intervals on graphs by looking for solid or hollow dots at the endpoints!

Find the domain and range of the following graph in interval notation.

Find out how to determine the domain and range of a line graph using interval notation. This example covers graphing concepts related to domain and range, showing the values the graph spans along the x-axis and y-axis. Suitable for students in Grades 8-10.

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