https://file.aiquickdraw.com/mathbot/file/172559234377663rj0riz.jpg

What is the domain and range of the graph using greater than and less than

To determine the **domain** and **range** from the graph you've provided, let's break it down based on the visible features of the curve:

### Domain:
- The graph represents a curve that starts around \(x = -4\) and moves leftwards (decreasing) as \(x\) becomes more negative.
- The curve extends infinitely to the left (toward negative infinity) and does not go to the right of \(x = 0\). Therefore, the domain is:

\[
x \leq 0
\]

### Range:
- The graph starts at around \(y = 5\) and continues downwards as \(y\) decreases.
- It goes to about \(y = 3\), where the arrow indicates the curve extends further down beyond this point. Hence, the range extends from \(y \leq 5\).

\[
y \leq 5
\]

### Final Answer:
- **Domain:** \( x \leq 0 \)
- **Range:** \( y \leq 5 \)

Would you like further details or have additional questions?

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Here are five related questions for further exploration:
1. What type of function does this graph represent (e.g., exponential, linear, or another)?
2. How would you find the slope of the graph between two points?
3. Can you describe the end behavior of the function as \( x \to -\infty \)?
4. If the graph were shifted, how would the domain and range change?
5. How can you determine if this graph represents a one-to-one function?

**Tip:** When interpreting the domain and range, always look for where the graph extends horizontally (domain) and vertically (range).

What is the domain and range of the graph using greater than and less than?

Discover how to determine the domain and range of a graph based on the curve's behavior. This question helps students practice graph interpretation, focusing on horizontal and vertical extents. Ideal for students in Grades 8-10.

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