https://file.aiquickdraw.com/mathbot/file/1727301449028fncbshhh.jpg

The graph you've uploaded appears to represent part of a parabola opening upwards. Let's analyze its domain and range based on the visible portion of the graph.

### Domain:
The domain of a function is the set of all possible \(x\)-values for which the function is defined. From the graph, we observe that the parabola starts approximately at \(x = -6\) and ends at \(x = 6\). Therefore, the domain is:
\[
\boxed{[-6, 6]}
\]

### Range:
The range is the set of all possible \(y\)-values that the function can take. From the graph, the lowest point of the parabola is at approximately \(y = -6\), and the highest point seems to be around \(y = 0\). Therefore, the range is:
\[
\boxed{[-6, 0]}
\]

Would you like more details or have any further questions?

Here are 5 relative questions you could explore further:
1. How can we find the equation of the parabola based on the graph?
2. What is the vertex of the parabola, and how does it affect the range?
3. How do you algebraically determine the domain and range of a function?
4. Can we find the axis of symmetry from the graph?
5. How would the domain and range change if the parabola were shifted?

**Tip**: When identifying the domain and range from a graph, always check the extreme points carefully to capture the full extent of the function.

Learn how to find the domain and range of a parabola from its graph. This example analyzes a quadratic function visually, focusing on understanding the limits of x and y values. Suitable for high school students learning quadratic functions.

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