To find the domain and range of the given graph, I will first examine the key points and behaviors of the plotted line.

Domain:

The domain refers to all possible values of $x$ for which the function is defined (horizontal extent).

• From the graph, the $x$-coordinates of the points go from $x = -5$ (far left) to $x = 6$ (far right).
• So, the domain is the interval from $-5$ to $6$.

Domain: $[-5, 6]$

Range:

The range refers to all possible values of $y$ (vertical extent).

• From the graph, the lowest $y$-value is $y = -3$ (bottom-most point), and the highest $y$-value is $y = 6$ (top-most point).
• So, the range is the interval from $-3$ to $6$.

Range: $[-3, 6]$

Would you like further clarification or more details? Here are some related questions:

1. How do you determine the domain and range for more complex graphs?
2. Can the domain and range ever be infinite?
3. What happens if a graph is discontinuous?
4. How do you express the domain and range of a function using inequalities?
5. How do transformations affect the domain and range of a graph?

Tip: Always check the endpoints of a graph to ensure that the domain and range include all possible values.