https://file.aiquickdraw.com/mathbot/file/1726542802507h5nkt3ve.jpg

From the image provided, we have a graph that shows part of a function resembling an upside-down parabola. Here's how to interpret the **domain** and **range** of the function:

### Domain:
- The domain refers to the set of all possible x-values the function can take.
- In the graph, the function starts from \( x = -6 \) and ends at \( x = 2 \), meaning that the function is defined for all x-values between \(-6\) and \(2\).

**Domain in interval notation:** \[
[-6, 2]
\]

### Range:
- The range refers to the set of all possible y-values the function outputs.
- The highest point on the graph is at \( y = -2 \) and the lowest point is \( y = -6 \), meaning the y-values span from \(-6\) to \(-2\).

**Range in interval notation:** \[
[-6, -2]
\]

Thus, the domain and range of the function are:
- **Domain:** \( [-6, 2] \)
- **Range:** \( [-6, -2] \)

Would you like further details or have any questions? Here are some related questions to explore:

1. How can we identify the vertex of this function from the graph?
2. What does it mean for a function to have a restricted domain?
3. How do you determine whether a function is increasing or decreasing from its graph?
4. What is the general form of the equation for a parabola, and how can we relate it to this graph?
5. How would the domain and range change if the graph were shifted up or down?

**Tip:** When interpreting graphs, always check the horizontal and vertical boundaries to ensure you correctly determine the domain and range.

Identify the domain and range of the function using interval notation.

Learn how to find the domain and range of a quadratic function using graph analysis. This guide walks you through interpreting the domain and range for a parabola in interval notation, covering key algebra concepts for Grades 9-12.

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