I can help you determine the domain and range of the function $h$ based on the graph provided. Let me first analyze the image and break down the information.

Domain and Range Analysis:

1. Domain: The domain is the set of all possible input values (x-values) for which the function is defined. In the graph, it appears that the function starts at some point on the left and ends at a point on the right, covering a specific interval on the x-axis.

2. Range: The range is the set of all possible output values (y-values) the function takes. In the graph, the function starts from a certain point on the y-axis and increases or decreases to another point.

Let me examine the graph more closely.

Domain:

From the image, it looks like the function starts at $x = -3$ and ends at $x = 3$. This gives us the domain: $\text{Domain} = [-3, 3]$

Range:

The graph begins at approximately $y = -2$ and goes up to $y = 2$. Thus, the range of the function is: $\text{Range} = [-2, 2]$

Would you like further details on how I arrived at this conclusion or have any questions about this analysis?

Here are 5 questions you can explore next:

1. What is the difference between domain and range in a function?
2. How can we find the domain and range from a graph?
3. What is interval notation, and how does it differ from set notation?
4. How do you identify whether a function is increasing or decreasing from a graph?
5. How do you determine if a graph represents a function using the vertical line test?

Tip: When analyzing the domain of a function, look at how far left and right the graph extends on the x-axis. For the range, observe the lowest and highest points on the y-axis.