Question

​For each interval in the table, indicate whether the function is increasing, decreasing, or neither increasing nor decreasing over the interval. 

Increasing

Decreasing

Neither Increasing or Decreasing

−7<x<−3

−3<x<−1

−1<x<1

1<x<3

3<x<5

5<x<7

Answer 1

To determine whether the function is increasing, decreasing, or neither in each interval, you would typically evaluate the behavior of the function or analyze its first derivative over those intervals. However, since you haven't provided a specific function or data points, I'll describe how you can assess the intervals based on general function behavior (you may need to substitute with your own function data accordingly):

1. **−7 < x < −3**:
- **Increasing/Decreasing/Nor**: Evaluate the function \( f(x) \). If \( f(x) \) is rising in this interval, it is increasing; if it is falling, it is decreasing; if it remains constant, it is neither.

2. **−3 < x < −1**:
- **Increasing/Decreasing/Nor**: Same assessment as the previous interval.

3. **−1 < x < 1**:
- **Increasing/Decreasing/Nor**: Again, evaluate the function or its derivative.

4. **1 < x < 3**:
- **Increasing/Decreasing/Nor**: Continue analyzing the function similarly.

5. **3 < x < 5**:
- **Increasing/Decreasing/Nor**: Check the behavior of \( f(x) \) again.

6. **5 < x < 7**:
- **Increasing/Decreasing/Nor**: Finish your evaluation here.

If you have a specific function or graph, please provide it for a precise analysis. Without that context, I can only guide you on how to do the analysis.