Let's analyze the given graph step by step:

1. Domain

The domain refers to all possible $x$-values where the function is defined.
From the graph:

• The function starts at $x = -2$, but there's an open circle indicating that the function is not defined at $x = -2$.
• The function extends to the right indefinitely.

Thus, the domain is:
$(-2, \infty)$

2. Range

The range is the set of all possible $y$-values of the function.
From the graph:

• The function starts close to $y = -3$ but with an open circle at $y = -3$, so $y = -3$ is not included.
• The function continues downward (negative values), decreasing as $x$ increases.

Thus, the range is:
$(-\infty, -3)$

3. x-intercept(s)

The $x$-intercepts are where the graph crosses the $x$-axis ($y = 0$).

From the graph:

• The graph does not touch or cross the $x$-axis.

Thus, the $x$-intercepts are:
$\text{DNE (Does Not Exist)}$

4. y-intercept

The $y$-intercept is where the graph crosses the $y$-axis ($x = 0$).

From the graph:

• At $x = 0$, the graph is located at $y = -4$.

Thus, the $y$-intercept is:
$y = -4$

5. Function Values

Here, you are likely looking for the value of the function at a specific $x$-value. For example:

• At $x = -2$: The open circle indicates the function is undefined, so $f(-2) = \text{DNE}$.
• At $x = 0$: As noted earlier, $f(0) = -4$.

Final Summary:

• Domain: $(-2, \infty)$
• Range: $(-\infty, -3)$
• x-intercepts: DNE
• y-intercept: $y = -4$
• Specific function values:
  • $f(-2) = \text{DNE}$
  • $f(0) = -4$

Let me know if you'd like further explanations or additional examples! Here are 5 related questions to expand on this:

1. How can you determine a function’s domain and range from its equation?
2. What is the difference between an open circle and a closed circle on a graph?
3. How would you write the function if it had $x$-intercepts?
4. How does a horizontal asymptote influence the range of a function?
5. Can a function have multiple $y$-intercepts? Why or why not?

Tip: Open circles on graphs indicate that the function is undefined at that point, so always exclude them from the domain and range.