https://file.aiquickdraw.com/mathbot/file/1726536105254aq6g1etw.jpg

The graph provided in the image appears to show a parabolic curve, suggesting a quadratic function of the form \(y = ax^2 + bx + c\), which is reflected vertically. Let's determine the domain and range from the visual information:

1. **Domain**: The graph spans horizontally from \(x = -5\) to \(x = 5\). Therefore, the domain is all \(x\) values between \(-5\) and \(5\) inclusive. In interval notation, this is:
   \[
   \text{Domain} = [-5, 5]
   \]

2. **Range**: Vertically, the graph extends from \(y = 0\) up to the highest point of the parabola at \(y = 10\). Therefore, the range is all \(y\) values between \(0\) and \(10\) inclusive. In interval notation, this is:
   \[
   \text{Range} = [0, 10]
   \]

You should input \([-5, 5]\) for the domain and \([0, 10]\) for the range in the answer boxes of your test.

Would you like more details on how to find the domain and range from a graph or have any other questions? Here are some related topics to explore:

1. What is the general form of a quadratic equation and how can it determine the shape of the graph?
2. How would changes to the coefficients in the quadratic equation affect the graph?
3. What are the real-world applications of understanding the domain and range of a function?
4. How can technology be used to find the domain and range more precisely?
5. What are some common mistakes to avoid when determining the domain and range from a graph?

**Tip:** Always check the scale on the axes of a graph when determining the exact values for the domain and range; it's essential for accuracy.

Determine the domain and range of the given parabolic graph.

This problem helps you determine the domain and range of a quadratic graph. The graph spans horizontally from x = -5 to x = 5 and vertically from y = 0 to y = 10, providing insight into key algebraic concepts for students in Grades 7-9.

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