The graph you provided appears to depict a function, and to find the domain and range, we need to determine the x- and y-values that the graph covers.

1. Domain (x-values):

The domain refers to the set of all possible $x$-values for which the function is defined. By observing the graph:

• The graph starts at about $x = -3$ and ends at around $x = 3$.
• There are no gaps in the $x$-values between $-3$ and $3$.

So, the domain is: $\boxed{[-3, 3]}$

2. Range (y-values):

The range refers to the set of all possible $y$-values that the function attains. By examining the graph:

• The graph extends from about $y = -4$ to $y = 0$.
• There are no gaps in the $y$-values between $-4$ and $0$.

So, the range is: $\boxed{[-4, 0]}$

Would you like further details or have any questions?

5 Related Questions:

1. How do you identify the domain and range from a graph?
2. What is the difference between a continuous and discrete domain?
3. Can a function have a domain that excludes certain points?
4. How does the vertical line test help in determining if a graph is a function?
5. What happens to the domain and range if the graph is transformed?

Tip:

Always remember that the domain is related to the input values (x-axis) and the range to the output values (y-axis) of a function!