https://file.aiquickdraw.com/mathbot/file/1727673888314igdvk1cg.jpg

Let's analyze the graph in the image to determine the domain and range.

1. **Domain**: The domain refers to the set of all possible x-values (horizontal axis) for which the function is defined. From the graph, it appears the function starts near \( x = -2 \) and extends to approximately \( x = 4 \). Thus, the domain is:
   \[
   \text{Domain: } [-2, 4]
   \]

2. **Range**: The range refers to the set of all possible y-values (vertical axis) the function can take. From observation, the function spans from around \( y = 3 \) (highest point) down to \( y = 1 \) (lowest point). Hence, the range is:
   \[
   \text{Range: } [1, 3]
   \]

Would you like further details or clarification?

Here are five related questions to deepen your understanding:
1. What is the difference between domain and range?
2. How do you find the domain and range of more complex functions, like trigonometric ones?
3. Can a function have a domain that extends to infinity?
4. How do you handle domain and range for piecewise functions?
5. How does restricting the domain affect the graph of a function?

**Tip**: Always check for any breaks, holes, or asymptotes in graphs when determining the domain and range, as they affect the intervals where the function is defined.

What is the domain and range of the given graph?

Analyze the graph to determine the domain and range. The domain spans from x = -2 to x = 4, and the range covers y-values from 1 to 3. This problem demonstrates core concepts in algebra and function graphing, suitable for students in Grades 6-9.

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