The graph provided shows a part of a function that appears to be a section of a parabola or similar curve, with two points clearly marked: one at $(-3, -5)$ and another at $(2, -1)$.

Domain:

The domain refers to all possible $x$-values for which the function is defined. From the graph, we can see that the curve starts at $x = -3$ and ends at $x = 2$, covering all values in between.

Thus, the domain in inequality notation is: $-3 \leq x \leq 2$

Range:

The range refers to all possible $y$-values that the function takes. From the graph, the lowest point on the curve is $y = -5$ and the highest point is $y = -1$.

Thus, the range in inequality notation is: $-5 \leq y \leq -1$

Final Answer:

• Domain: $-3 \leq x \leq 2$
• Range: $-5 \leq y \leq -1$

Would you like more details or explanations on this solution?

Here are 5 related questions to explore further:

1. How do you determine domain and range from a more complex function?
2. What is the difference between open and closed intervals in inequalities?
3. How do domain and range change if the graph shifts horizontally or vertically?
4. Can a function have a range that is unbounded?
5. How do we express domain and range for functions with gaps or discontinuities?

Tip: Always observe whether endpoints are included in the graph, as this affects whether to use strict or non-strict inequalities for domain and range.