Select all the intervals on which the graph of the function is NOT decreasing.
Understand the Problem
The question is asking to identify which intervals in a given graph do not show a decrease in altitude over time. This involves analyzing the graph and determining where the function is either increasing or remaining constant.
Answer
The intervals in which the graph of the function is NOT decreasing are Interval 1, Interval 2, and Interval 4.
Answer for screen readers
The intervals in which the graph of the function is NOT decreasing are:
- Interval 1
- Interval 2
- Interval 4
Steps to Solve
- Identify the intervals on the graph
Examine the graph of altitude over time to determine the specific intervals it covers. The graph is divided into four distinct intervals labeled (1), (2), (3), and (4). We need to analyze these intervals to check the behavior of the altitude.
- Analyze Interval 1 (from Time 0 to 1)
In this interval, the graph shows a constant increase in altitude from point (0) to point (1). Therefore, this interval does not show a decrease.
- Analyze Interval 2 (from Time 1 to 2)
In this interval, the altitude remains constant at the height reached at point (1). Since there is no decrease, this interval also does not show a decrease.
- Analyze Interval 3 (from Time 2 to 3)
In this interval, the altitude decreases from the peak at point (2) to a lower altitude at point (3). This interval does show a decrease, so it does not satisfy our requirement.
- Analyze Interval 4 (from Time 3 to 4)
In this interval, the altitude remains constant again as it levels off at point (3). Since there is no decrease, this interval does not show a decrease.
The intervals in which the graph of the function is NOT decreasing are:
- Interval 1
- Interval 2
- Interval 4
More Information
Intervals where the altitude does not decrease indicate either an increase or a plateau in altitude. Analyzing these intervals is crucial for understanding the overall changes in the graph and can be applied in real-world scenarios like flight paths or tracking elevation changes during a hike.
Tips
- One common mistake is confusing a plateau (constant altitude) with a decrease. It's important to identify that a plateau does not count as a decrease.
- Another mistake could be neglecting to consider all provided intervals. Double-check each interval before concluding which ones are valid.
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