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What is the domain and range of the graph

The graph in the image appears to be part of a parabola, opening to the left. To find the **domain** and **range**, we can analyze the graph based on the following:

### Domain:
The domain of the graph represents all possible \( x \)-values (horizontal values) where the graph exists.

- The graph extends horizontally from \( x = -4 \) to \( x = 2 \). Therefore, the domain is:
  \[
  \boxed{[-4, 2]}
  \]

### Range:
The range of the graph represents all possible \( y \)-values (vertical values) where the graph exists.

- The graph extends vertically from \( y = -2 \) to \( y = 2 \). Therefore, the range is:
  \[
  \boxed{[-2, 2]}
  \]

### Final Answer:
- **Domain**: \([-4, 2]\)
- **Range**: \([-2, 2]\)

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. How do you determine the domain and range of a vertical parabola?
2. What is the domain of a function that extends infinitely left or right?
3. Can the domain of a parabola be different if it opens upwards?
4. What are the typical features of a parabola that opens to the left?
5. How do transformations (shifts and reflections) affect the domain and range of a graph?

**Tip:** Always check the graph carefully to see if the function continues indefinitely or is restricted to a specific region, as this directly affects the domain and range!

What is the domain and range of the graph?

Learn how to determine the domain and range of a parabola graph. This problem focuses on identifying the horizontal and vertical boundaries of the graph, suitable for students in Grades 8-10.

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