Question
Identify the intervals in which the function is increasing.
- 1 and 3
- 1
- 2 and 4
- 3 and 5
Hint:
We need to find the function is increasing interval in graph the slope of the function would be positive. And you and also get the constant interval if the particular interval line is horizontal.
The correct answer is: 1
Here we have to find out the increasing intervals.
Firstly, we must look the graph that how many intervals are given,
In this graph, There are total 5 interval were given .
For increasing interval , the line must be upward line or the slope of line would be positive.
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 1 interval which function is increasing which is (1).
The correct answer is 1 (option (b)) .
For finding the increasing functions in interval you must consider the given interval will be going upward from left to right and you can see find the slope of interval if its positive then its increasing.
Related Questions to study
Identify the statement that best describes the increasing and decreasing of the graph.
It very easy to find the increasing and decreasing interval in graph you just have to focus on the graph where its going upward or downward or you can also find increasing and decreasing by finding the slope of the line. If the slope is positive then line is increasing otherwise slope is negative then line is decreasing.
Identify the statement that best describes the increasing and decreasing of the graph.
It very easy to find the increasing and decreasing interval in graph you just have to focus on the graph where its going upward or downward or you can also find increasing and decreasing by finding the slope of the line. If the slope is positive then line is increasing otherwise slope is negative then line is decreasing.
Which statement matches the graph?
In this question, we have to find the Taylor writing speed per minutes. Just read the graph carefully find x and y coordinate for same point, And then find y at x=1 . Apply same concept in similar questions.
Which statement matches the graph?
In this question, we have to find the Taylor writing speed per minutes. Just read the graph carefully find x and y coordinate for same point, And then find y at x=1 . Apply same concept in similar questions.
Find the constant rate of change.
Find the constant rate of change.
Identify whether the function is increasing, decreasing or constant at the interval pointed in the graph.
Identify whether the function is increasing, decreasing or constant at the interval pointed in the graph.
The table represents a linear function. What is the constant rate of change?
The table represents a linear function. What is the constant rate of change?
What is the definition of function?
Let us consider a function that defined as 
then, the representation may exist as shown below.
Hence, Every object x that belongs to the set of inputs has exactly one object y that belongs to the set of outputs.
*** Hence, the technical definition of the function is a relation from a set of i9nputs to set of possible outputs where each input is related to exactly one output.
What is the definition of function?
Let us consider a function that defined as then, the representation may exist as shown below.
Hence, Every object x that belongs to the set of inputs has exactly one object y that belongs to the set of outputs.
*** Hence, the technical definition of the function is a relation from a set of i9nputs to set of possible outputs where each input is related to exactly one output.
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