https://file.aiquickdraw.com/mathbot/file/1729440340114mgin8u2w.jpg

Let's analyze the math content from your image and go through each part. From what I can see:

1. **Is the graph increasing over at least one interval?**  
   - You selected "Yes."

2. **Is the graph decreasing over at least one interval?**  
   - You selected "Yes."

3. **(e) The graph is increasing over the interval(s):**  
   - You entered \((-∞, -3) ∪ (3, ∞)\), which seems correct if the graph increases on those intervals.

4. **(f) The domain in interval notation is:**  
   - You entered \((-∞, -3) ∪ (3, ∞)\), which suggests there may be an exclusion around \(x = 3\), possibly a vertical asymptote or undefined point there.

5. **(g) The range in interval notation is:**  
   - This is left blank. To determine the range, you would need to look at the \(y\)-values the graph attains. If there's a gap or vertical asymptote, the range might also exclude certain values. 

Would you like help determining the correct range for this function, or is there a graph I should refer to for more precise details?

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Here are 5 questions to deepen your understanding of interval notation and functions:

1. How do you identify when a function is increasing or decreasing on an interval?
2. What causes certain intervals to be excluded from a domain?
3. Why is the union symbol (\(\cup\)) used in interval notation?
4. Can the range of a function include infinity? If so, how?
5. How do vertical asymptotes affect the domain and range of a function?

**Tip:** Always double-check whether the function has any undefined points or asymptotes, as these directly affect the domain and range.

The graph is increasing over the intervals and decreasing over others. Find the domain, range, and intervals of increase and decrease.

This problem involves analyzing a graph's behavior in terms of intervals where the function is increasing or decreasing. It also covers how to find the domain and range using interval notation, suitable for high school math students.

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