Let's analyze the graph and solve the problem.

The task is to determine the domain and range of the given linear function.

Observations:

1. The graph shows a segment of a linear function, which starts at approximately $x = -2$, $y = 6$, and ends at $x = 2$, $y = -6$.

2. Domain: The domain is the set of $x$-values covered by the graph. Here, the $x$-values range from $-2$ to $2$.

   • Domain: $[-2, 2]$.

3. Range: The range is the set of $y$-values covered by the graph. Here, the $y$-values range from $-6$ to $6$.

   • Range: $[-6, 6]$.

Final Answer:

• Domain: $[-2, 2]$.
• Range: $[-6, 6]$.

Would you like more details or a further explanation of how to determine the domain and range?

Related Questions:

1. How can you determine the slope of a linear function from a graph?
2. What is the formula for finding the equation of a line given two points?
3. How does the domain of a function change when the line extends infinitely?
4. How can you represent the domain and range of a function algebraically?
5. What is the importance of the domain and range in real-world applications of functions?

Tip:

For a linear function graph, always focus on where the graph starts and ends (if finite) to determine the domain and range.