The question in the image asks whether the graph defines a function and requests the domain and range. From the graph, we can see a straight line with a negative slope crossing the $y$-axis at $y = 8$ and extending across the graph in a linear fashion.

Does the graph represent a function?

Yes, the graph defines a function. To check this, we use the Vertical Line Test: if any vertical line drawn through the graph only intersects the graph at one point, then the graph represents a function. In this case, any vertical line intersects the graph at only one point, confirming that it is a function.

Domain and Range:

• Domain: The graph extends infinitely in both directions along the $x$-axis, covering all real numbers. Therefore, the domain is: $\text{Domain} = (-\infty, \infty)$

• Range: Similarly, the graph covers all possible values along the $y$-axis, so the range is: $\text{Range} = (-\infty, \infty)$

Would you like more details or further clarification?

Here are some related questions:

1. What is the Vertical Line Test, and how does it work?
2. Can a graph represent a function if it is not a straight line?
3. How do you determine the domain of a function graphically?
4. What are the characteristics of a non-function in terms of a graph?
5. How does a line with a positive slope affect the function definition?

Tip: Always apply the vertical line test to determine if a relation is a function when working with graphs.