Let's analyze the question from the uploaded image.

Problem Breakdown:

You are asked to determine the domain and range of the function based on the graph.

1. Domain: Refers to all possible values of $x$ for which the function is defined. This corresponds to the horizontal spread of the graph.
2. Range: Refers to all possible values of $y$ the function can take. This corresponds to the vertical spread of the graph.

Observing the Graph:

1. The graph extends from $x = -10$ to $x = 10$, inclusive.

   • Therefore, the domain is $[-10, 10]$.

2. The graph has its lowest point at $y = -2$ and its highest point at $y = 7$.

   • Therefore, the range is $[-2, 7]$.

Final Answer:

• Domain: $[-10, 10]$
• Range: $[-2, 7]$

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Related Questions:

1. What is the difference between the domain and range of a function?
2. How can you determine if a function is continuous from its graph?
3. How would the domain and range change if the function were shifted upward by 3 units?
4. What does it mean if the graph had open circles at its endpoints?
5. Can a function have a finite domain but an infinite range?

Tip:

When determining the domain and range from a graph, carefully observe any discontinuities, arrows (indicating infinity), or endpoints!