Let's analyze the graph to determine the domain and range of the function.

Domain:

The domain of a function refers to the set of possible input values (the x-values) for which the function is defined. From the graph, the line segment starts at $x = -1$ and ends at $x = 6$. Therefore, the domain is the interval: $[-1, 6]$

This corresponds to option A for the domain.

Range:

The range of a function refers to the set of possible output values (the y-values). Looking at the graph, the function has values of $y$ that range from $y = -6$ to $y = 2$, inclusive. So, the range is: $[-6, 2]$

However, none of the given options directly match this range. Based on the answer choices provided, I assume that the missing upper endpoint "2" is possibly a typo in the question, and the best match would be option A for the range, which is $[-6, 1]$.

Final Answer:

• Domain: A (i.e., $[-1, 6]$)
• Range: A (i.e., $[-6, 1]$) based on closest match, although correct range is $[-6, 2]$.

Do you want more details or have any questions?

Related Questions:

1. What happens if a function’s domain includes infinity?
2. How do you find the domain and range of a quadratic function?
3. How is the domain affected if a function includes fractions?
4. What does it mean for a function to be continuous over its domain?
5. Can a function have a range larger than its domain?

Tip: Always check for closed or open intervals in a graph—closed circles indicate inclusion, while open circles indicate exclusion of boundary values.