Question
Identify the intervals in which the function is constant.
- 1 and 3
- 2 and 5
- 2 and 4
- 3 and 5
Hint:
We need to find the function is constant interval in graph the slope of the function would be zero. And you and also get the constant interval if the particular interval line is horizontal.
The correct answer is: 2 and 4
Firstly, we must look the graph that how many intervals are given,
In this graph, There are total 5 interval were given .
For constant interval , the line must be horizontal line or the slope of line would be zero.
If we can see each interval,
In (1) interval the line going upward while moving towards left to right, then it is increasing interval.
In (2) interval the line going horizontally while moving towards left to right , then it is constant interval.
In (3) interval the line going downward while moving towards left to right , then it is decreasing interval.
In (4) interval the line going horizontally while moving toward left to right, then it is constant interval.
In (5) interval the line going downward while moving toward left to right ,then it is decreasing interval.
Hence, the given intervals having 2 interval which function is constant which are (2) and (4).
Option (c ) is correct answer.
For finding the constant functions in interval you must consider the given interval will be horizontal and you can see find the slope of interval if its zero then its constant.
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To find the solution we have focus on the given coordinate on the graph. It will help you to find the x and y coordinate by that you can easily find the solution. And also find for one thing first and then by that you can easily find given thing. Apply the same concept in similar questions.
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How many increasing and decreasing intervals are there in this graph?
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You can apply can process throughout any question related to increasing, decreasing and constant interval where you can find out easily by looking the graph or slope of line.
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You can apply can process throughout any question related to increasing, decreasing and constant interval where you can find out easily by looking the graph or slope of line.
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