Let's analyze the graph to answer the three parts of the question.

(a) Open intervals where the function is increasing:

A function is increasing on an interval when the graph moves upwards as you move from left to right.

• The function increases between $x = -5$ and $x = -3$, and again between $x = -2$ and $x = 0$.

Thus, the open intervals where the function is increasing are: $(-5, -3) \cup (-2, 0)$

(b) Open intervals where the function is decreasing:

A function is decreasing on an interval when the graph moves downwards as you move from left to right.

• The function decreases from $x = -7$ to $x = -5$, from $x = -3$ to $x = -2$, and from $x = 0$ to $x = 2$.

Thus, the open intervals where the function is decreasing are: $(-7, -5) \cup (-3, -2) \cup (0, 2)$

(c) Open intervals where the function is constant:

A function is constant on an interval when the graph is flat (horizontal).

• In this case, the graph has no flat or horizontal parts, so the function is not constant anywhere.

Thus, there are no intervals where the function is constant: $\text{None}$

Would you like more details on any part of this? Here are five related questions that might interest you:

1. How do you identify turning points on a graph?
2. What is the difference between increasing and strictly increasing functions?
3. Can a function be both increasing and decreasing on the same interval?
4. How do you determine local maxima and minima from a graph?
5. How would the behavior of this function change if we shifted it vertically?

Tip: Always observe the graph carefully to detect whether the function has flat sections for constant intervals, even if they are small.