Let's analyze the problem. The graph shows a piecewise function with specified points. To answer the questions:

1. Increasing interval:

   • The graph is increasing where the function's slope is positive.
   • From the graph, the function increases from $(-10, -5)$ to $(-7, 8)$, corresponding to the interval $(-10, -7)$.

2. Decreasing interval:

   • The graph decreases where the function's slope is negative.
   • The function decreases from $(-13, 7)$ to $(-10, -5)$, corresponding to the interval $[-13, -10]$.

Thus:

• The graph is increasing on the interval: $(-10, -7)$.
• The graph is decreasing on the interval: $[-13, -10]$.

Let me know if you need further clarifications or explanations!

Here are five related questions for practice:

1. What is the difference between open and closed intervals in graphing?
2. How can you determine the slope of a line segment from a graph?
3. What would the intervals look like if the function also had a constant segment?
4. How do you identify maximum or minimum points on a graph like this?
5. Can a graph have multiple increasing and decreasing intervals?

Tip: Always pay attention to the endpoints of intervals when determining increasing and decreasing sections!