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?

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.