Let's analyze the given graph and the instructions to answer each part of the question.

Given Problem:

• You are asked to determine:
  1. The intervals where the function is increasing.
  2. The intervals where the function is decreasing.
  3. The intervals where the function is constant.
  4. The domain of the function.
  5. The range of the function.

Observations from the Graph:

1. Increasing Interval:

   • The function increases between the points $x = -4$ and $x = 0$, and between $x = 6$ and $x = 10$.

   So, the function is increasing on the intervals: $(-4, 0) \cup (6, 10)$

2. Decreasing Interval:

   • The function decreases between $x = 0$ and $x = 6$.

   So, the function is decreasing on the interval: $(0, 6)$

3. Constant Interval:

   • There is no interval where the function remains constant as the function is either increasing or decreasing.

   Thus, there are no constant intervals.

4. Domain:

   • The function has values for $x$ between $-10$ and $10$ based on the graph.

   Hence, the domain is: $[-10, 10]$

5. Range:

   • The lowest value of $y$ is $-8$, and the highest value is $10$.

   Thus, the range is: $[-8, 10]$

Would you like further explanation or any specific details on these answers? Here are a few related questions that could deepen your understanding:

1. What does an increasing or decreasing interval tell us about the derivative of the function?
2. How can we determine if a function is constant based on its graph?
3. What is the difference between the domain and range of a function?
4. How do you identify turning points on the graph of a function?
5. How would these intervals change if we were given a different type of function, such as quadratic?

Tip: When identifying increasing or decreasing intervals, pay close attention to the slope (upward for increasing, downward for decreasing) of the graph between critical points.