From the image provided, we have a graph that shows part of a function resembling an upside-down parabola. Here's how to interpret the domain and range of the function:

Domain:

• The domain refers to the set of all possible x-values the function can take.
• In the graph, the function starts from $x = -6$ and ends at $x = 2$, meaning that the function is defined for all x-values between $-6$ and $2$.

Domain in interval notation: $[-6, 2]$

Range:

• The range refers to the set of all possible y-values the function outputs.
• The highest point on the graph is at $y = -2$ and the lowest point is $y = -6$, meaning the y-values span from $-6$ to $-2$.

Range in interval notation: $[-6, -2]$

Thus, the domain and range of the function are:

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

Would you like further details or have any questions? Here are some related questions to explore:

1. How can we identify the vertex of this function from the graph?
2. What does it mean for a function to have a restricted domain?
3. How do you determine whether a function is increasing or decreasing from its graph?
4. What is the general form of the equation for a parabola, and how can we relate it to this graph?
5. How would the domain and range change if the graph were shifted up or down?

Tip: When interpreting graphs, always check the horizontal and vertical boundaries to ensure you correctly determine the domain and range.