Let's analyze the graph of the function $f$ and determine the intervals over which the function is increasing.

From the graph:

• $f$ is increasing when the slope of the graph is positive (the graph rises as you move from left to right).

Observing the graph:

1. $f$ is increasing on the interval $[-6, -4]$ because the graph rises from $y = -2$ to $y = 4$.
2. $f$ is also increasing on the interval $[2, 5]$ because the graph rises from $y = -2$ to $y = 5$.

Final Answer:

The intervals where $f$ is increasing are $[-6, -4]$ and $[2, 5]$.

Correct choice: (A).

Would you like further clarification on why the other options are incorrect?

Here are 5 related questions to expand your understanding:

1. How do you identify increasing and decreasing intervals from a graph?
2. What is the relationship between the derivative and the slope of a graph?
3. How do you determine where a function is constant?
4. How do endpoints affect the classification of intervals as increasing or decreasing?
5. Can a function be increasing and decreasing in the same interval?

Tip: When analyzing graphs, always look for sections where the graph rises or falls consistently, and note the $x$-coordinates at transitions.