Determine the intervals on which the function is​ increasing, decreasing, and constant.

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Part 1

List the​ interval(s) on which the function is increasing.

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​(Type your answer in interval notation. Use a comma to separate answers as​ needed.)

Part 2

List the​ interval(s) on which the function is decreasing.

enter your response here

​(Type your answer in interval notation. Use a comma to separate answers as​ needed.)

Part 3

List the​ interval(s) on which the function is constant.

enter your response here

​(Type your answer in interval notation. Use a comma to separate answers as​ needed.)

To determine the intervals where a function is increasing, decreasing, or constant, we typically need information about the function's derivative or a graph of the function. The derivative \( f'(x) \) provides information on the slope of the function:

- **Increasing:** When \( f'(x) > 0 \) on an interval.
- **Decreasing:** When \( f'(x) < 0 \) on an interval.
- **Constant:** When \( f'(x) = 0 \) on an interval.

However, since you haven't provided the specific function or its graph, I can't identify these intervals directly. If you can provide either a function, its graph, or derivative information, I can help you find the increasing, decreasing, and constant intervals.

Do you have more details about the function?

### Follow-up Questions
1. What is the given function or its derivative?
2. Can you provide a graph of the function?
3. Are there any critical points or turning points given in the problem?
4. Does the problem provide any information about the domain of the function?
5. Is the function polynomial, rational, exponential, or of another type?

### Tip
When analyzing functions, always check for critical points by setting the derivative to zero and solving for \( x \). This helps identify potential maxima, minima, and constant regions.

Determine the intervals on which the function is increasing, decreasing, and constant.

Part 1
List the interval(s) on which the function is increasing. (Type your answer in interval notation. Use a comma to separate answers as needed.)

Part 2
List the interval(s) on which the function is decreasing. (Type your answer in interval notation. Use a comma to separate answers as needed.)

Part 3
List the interval(s) on which the function is constant. (Type your answer in interval notation. Use a comma to separate answers as needed.)

Learn how to find the intervals where a function is increasing, decreasing, or constant using derivative analysis. This tutorial explains key calculus concepts like the first derivative test. Suitable for high school students in Grades 10-12.

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