Using each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.
6 < x < 8 8 < x < 10 1 < x < 4 4 < x < 6 10 < x < 14 Increasing Decreasing Neither Increasing nor Decreasing
Using each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval. 6 < x < 8 8 < x < 10 1 < x < 4 4 < x < 6 10 < x < 14 Increasing Decreasing Neither Increasing nor Decreasing
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To determine whether a function is increasing, decreasing, or neither over the given intervals, you would typically look at the function’s graph or its first derivative. Here’s a step-by-step breakdown of how you can analyze the intervals:
1. 6 < x < 8: Check the values of the function from x = 6 to x = 8. If the function values are going up, it’s increasing; if they’re going down, it’s decreasing; if they stay constant, it’s neither.
2. 8 < x < 10: Repeat the process for this interval.
3. 1 < x < 4: Analyze the function from x = 1 to x = 4.
4. 4 < x < 6: Look at this interval next.
5. 10 < x < 14: Finally, check the behavior of the function from x = 10 to x = 14.
After evaluating these intervals, you can categorize them as increasing, decreasing, or neither based on the trends you observe. If you are performing this analysis on a specific function or graph, consider plotting points or using the first derivative to better understand the function’s behavior.
Please check the extended services page for more detailed assistance with specific functions.