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Use the given graph to determine the function's domain, range,
x-intercept(s), y-intercept, and function values. Use interval notation for interval solutions. If multiple solutions exist, use a comma-separated list to enter the solutions. If a solution does not exist, enter DNE.

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.

Use the given graph to determine the function's domain, range, x-intercept(s), y-intercept, and function values. Use interval notation for interval solutions. If multiple solutions exist, use a comma-separated list to enter the solutions. If a solution does not exist, enter DNE.

Analyze the graph of a function to determine its domain, range, x-intercepts, y-intercepts, and specific function values. This solution uses interval notation and explains open circles, intercepts, and undefined points for Grades 9-12 students.

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