https://file.aiquickdraw.com/mathbot/file/17260257560222zmp8it8.jpg

The image shows the graph of a function \( g \) with instructions to find the domain and range using interval notation.

### Domain
The domain is the set of all possible \( x \)-values that the function covers. From the graph:
- The \( x \)-values start at \( x = -3 \) and end at \( x = 2 \).
- Since the function includes both endpoints, we use square brackets in interval notation.

**Domain**: \([-3, 2]\)

### Range
The range is the set of all possible \( y \)-values that the function covers. From the graph:
- The \( y \)-values range from \( y = 0 \) to \( y = 5 \), as these are the lowest and highest points on the graph.
- Again, the graph includes both endpoints.

**Range**: \([0, 5]\)

Would you like further details on how this was derived, or do you have any other questions?

### Related Questions:
1. What is the difference between domain and range in a function?
2. How do you find the domain of a function algebraically?
3. How do you find the range of a function algebraically?
4. What happens if a function has vertical asymptotes? How does it affect the domain?
5. How does a discontinuous function affect the domain and range?

**Tip**: When reading a graph, always check the endpoints to see if the graph includes them (solid dots) or excludes them (open dots) to determine the interval notation.

The entire graph of the function g is shown in the figure below. Write the domain and range of g using interval notation.

Learn how to determine the domain and range of a continuous function from its graph. This example shows a function with domain [-3, 2] and range [0, 5] using interval notation, a key skill in algebra and graph interpretation.

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