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To determine where the function \( f(x) \) is decreasing, we need to look at the intervals in which the slope of the curve is negative, meaning the function moves down as we move from left to right.

### Analysis of Intervals
Observing the graph:
1. From point \( A \) to point \( B \), the function is increasing (the slope is positive).
2. From point \( B \) to point \( D \), the function is decreasing (the slope is negative).
3. From point \( D \) to point \( E \), the function is increasing again.

Therefore, the function is **decreasing** in the interval between points **B and D**.

### Answer
The correct option is:
- **C and D**

Would you like further details or have any questions about this?

### Related Questions:
1. How do we determine if a function is increasing or decreasing from a graph?
2. What role does the derivative play in identifying intervals of increase or decrease?
3. How can we identify relative maxima and minima points on a graph?
4. How does concavity affect the intervals of increase and decrease?
5. How do we interpret points where the function’s slope is zero?

### Tip:
A function decreases where the slope (or derivative) is negative, and it increases where the slope is positive.

Which shows where the function is decreasing?

Understand how to determine where a function is decreasing by analyzing the slope in different intervals on a graph. This example uses key calculus concepts such as increasing and decreasing intervals, as well as the First Derivative Test. Suitable for students in Grades 11-12.

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