https://file.aiquickdraw.com/mathbot/file/1728676724735z4s338tn.jpg

The graph provided represents a function \( g \) with a clear domain and range. Let's analyze the graph and determine both using interval notation.

### Domain:
The domain of a function is the set of all possible input values (i.e., the \( x \)-values) for which the function is defined. From the graph:
- The function starts at \( x = -4 \) and continues to \( x = 3 \).
- Therefore, the domain is from \( -4 \) to \( 3 \).

In interval notation:
\[
\text{Domain} = [-4, 3]
\]

### Range:
The range of a function is the set of all possible output values (i.e., the \( y \)-values). From the graph:
- The function reaches a minimum \( y \)-value of \( -5 \) and a maximum of \( 5 \).
- The maximum \( y \)-value at \( 5 \) is not included, since there is an open circle at the point \( (3, 5) \).

In interval notation:
\[
\text{Range} = [-5, 5)
\]

### Summary:
- Domain: \( [-4, 3] \)
- Range: \( [-5, 5) \)

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you interpret closed vs. open intervals on a graph?
2. Can the range of a function include an open interval at both ends?
3. How do asymptotes affect the domain and range of a function?
4. What is the difference between a continuous and a discrete function in terms of domain and range?
5. How do transformations (like shifts and stretches) affect the domain and range of a function?

**Tip:** When dealing with domain and range, always check for points where the function may be undefined or where there are open intervals to avoid including incorrect values.

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 find the domain and range of a function by analyzing its graph. This problem involves understanding the x and y intervals where the function is defined and how open or closed intervals are represented. The domain is [-4, 3] and the range is [-5, 5). Suitable for students in Grades 8-10.

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