https://file.aiquickdraw.com/mathbot/file/17271912900759oolk25e.jpg

In the image, the graph shows a part of a parabolic function that opens downward. The function starts at the point \((-2, 3)\) and ends at the point \((5, 3)\), indicating that the vertex of the parabola is at the maximum point \(y = 4\). Both endpoints are at \(y = 3\), and the function covers all values between \(y = 2\) and \(y = 4\).

### Range of the function:
The range is the set of \(y\)-values that the function takes. From the graph, the function goes from a minimum of \(y = 2\) (at both endpoints) to a maximum of \(y = 4\) at the vertex.

The range in interval notation is:
\[
[2, 4]
\]

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### Related Questions:
1. How would the range change if the parabola opened upwards instead?
2. What is the domain of the function in this graph?
3. How do you find the vertex of a parabola given its equation?
4. What are the conditions for a function to have a closed interval in its range?
5. How can you determine the range of a quadratic function algebraically?

### Tip:
When analyzing the range of a function graphically, always check the highest and lowest points the function reaches on the y-axis.

Write the range of the function using interval notation.

Learn how to find the range of a parabolic function that opens downward, with endpoints at (-2, 3) and (5, 3), and a vertex at (1.5, 4). This problem is suitable for students in Grades 9-10.

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