The question asks for the domain and range of the function $h$, given its graph.

Observations

From the graph:

1. Domain: The graph extends horizontally from $x = -3$ to $x = 3$. Therefore, the domain is: $[-3, 3]$

2. Range: The lowest point on the graph reaches $y = -2$, and the highest point goes up to $y = 5$. Therefore, the range is: $[-2, 5]$

Answer

• Domain: $[-3, 3]$
• Range: $[-2, 5]$

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Related Questions:

1. How do you determine the domain of a function from a graph?
2. How do you determine the range of a function from a graph?
3. What does an open or closed circle on a graph indicate?
4. How do different types of functions (e.g., linear, quadratic) affect their domain and range?
5. How can interval notation be used to express unbounded intervals?

Tip:

When analyzing a graph, always check for any open circles (indicating points not included) or arrows (suggesting the graph extends infinitely in a direction).