Let's go through the questions and answers based on the graph.

1. Domain: The domain refers to all possible x-values for which the function is defined. From the graph, the function spans horizontally from $x = -5$ to $x = 2$. Hence, the domain is:

   Domain: $[-5, 2]$

2. Range: The range refers to all possible y-values that the function can take. Observing the graph, the function reaches its highest point at $y = 6$ and its lowest point at $y = -5$. Therefore, the range is:

   Range: $[-5, 6]$

3. X-intercepts: X-intercepts are the points where the graph crosses the x-axis (i.e., where $y = 0$). From the graph, the function touches the x-axis at $x = -5$, $x = -2$, and $x = 2$. Therefore, the x-intercepts are:

   X-intercepts: $x = -5, -2, 2$

4. Y-intercept: The y-intercept is the point where the graph crosses the y-axis (i.e., where $x = 0$). From the graph, we can see that the function crosses the y-axis at $y = 5$.

   Y-intercept: $y = 5$

5. Function values:

   • $f(-3)$: To find $f(-3)$, observe the graph at $x = -3$. The corresponding y-value is $y = 4$, so $f(-3) = 4$.
   • $f(2)$: To find $f(2)$, observe the graph at $x = 2$. The corresponding y-value is $y = 0$, so $f(2) = 0$.

Do you need further details or have any questions on this?

Here are some additional questions related to this:

1. How do you find the x-intercepts of a function algebraically?
2. What is the general definition of the domain of a function?
3. How would you determine the range of a function if the graph is not available?
4. What is the significance of intercepts in analyzing a function's behavior?
5. How would transformations, like shifting or stretching, affect the intercepts and domain of the function?

Tip: Always remember to express the domain and range of a function in interval notation, considering whether endpoints are included or excluded.