Questions: Determine the interval(s) for which the function shown below is increasing. Write your response in interval notation using the symbol U when necessary.

Solution Steps

To determine where the function is increasing, we need to look at the graph and identify the intervals where the slope of the function is positive (i.e., the function is going upwards).

From the graph, we can see that the function is increasing in two intervals:

1. From \( x = -6 \) to \( x = -2 \)
2. From \( x = 4 \) to \( x = 7 \)

We express these intervals in interval notation as: \[ (-6, -2) \cup (4, 7) \]

Final Answer