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Is the function increasing, decreasing, or neither over each interval?

Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.

6 < x < 8 4 < x < 6 8 < x < 10 10 < x < 14 1 < x < 4




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1 Answer

  1. To determine whether the function is increasing, decreasing, or neither over the given intervals, we need to analyze the behavior of the function in each interval. Although I don’t have the specific function, I can guide you through the general steps.

    1. 6 < x < 8: Check the function values at points in this interval. If the values are getting larger as x increases, it’s increasing; if they are decreasing, it’s decreasing.

    2. 4 < x < 6: Repeat the same process as above for this interval.

    3. 8 < x < 10: Analyze this interval again, looking at the function’s behavior.

    4. 10 < x < 14: Look at this interval to see if the function values rise or fall as x increases.

    5. 1 < x < 4: Lastly, evaluate this interval for the same increasing or decreasing pattern.

    You can often plot the function or calculate its derivative to see where it rises or falls. If you want to dive deeper into how to analyze a specific function, feel free to ask! If you need more help, you can check our extended services page for more in-depth assistance.

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