To determine whether the function is increasing, decreasing, or constant over the intervals you provided, we would typically analyze the graphical representation of the function itself. However, since I can't see the graph, I'll guide you on how to approach this analysis.
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For the interval \(1 < x < 2\):
- Check if the graph is moving upwards as you move from \(x = 1\) to \(x = 2\). If yes, the function is increasing. If it moves downwards, it is decreasing. If it's flat, the function is constant.
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For the interval \(2 < x < 5\):
- Again, observe the graph between these bounds. Look for an upward trend (increasing), a downward trend (decreasing), or no change (constant).
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For the interval \(5 < x < 7\):
- Examine the graph in this range. Determine whether it is rising, falling, or remaining flat, similar to the previous intervals.
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For the interval \(x > 7\):
- Finally, check the behavior of the function for \(x\) values greater than 7. Look for trends, whether the function is increasing, decreasing, or constant.
If you can summarize what the graph looks like over each of these intervals, you will be able to determine whether the function is increasing, decreasing, or constant. If you can provide a verbal description of the graph or any specific points, I can assist you further!
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