Question
How many increasing and decreasing intervals are there in this graph?
- 2 increasing, 2 decreasing
- 1 increasing, 2 decreasing
- 2 increasing, 1 decreasing
- 1 increasing, 1 decreasing
Hint:
It is important to distinguish between increasing and decreasing interval in graph. The increasing interval means equation having the slope of the graph is always positive and decreasing interval means the slope of the graph is negative.
The correct answer is: 2 increasing, 2 decreasing
Firstly , to find the increasing and decreasing interval in graph we must look the how many increasing line are there and how many decreasing lines are there in graph.
A function is increasing where the graph gets higher as it moves towards left to right the interval.
And function is decreasing where graph gets lower as it moves towards left right over the interval.
Here we must look the How many times the graph go towards higher and lower from left to right in intervals.
Fig-2
According to fig-2 , it has 4 interval,
In first interval, the graph is decreasing , because the slope of graph is negative.
In second interval, the graph is increasing , because the slope of graph is positive.
In third interval, the graph is decreasing, because the slope is negative.
In fourth interval , the graph is increasing, because the slope is positive.
Therefore, the graph have 2 increasing interval and 2 decreasing interval .
The correct answer is 2 increasing and 2 decreasing (option (a)).
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.
Related Questions to study
Look at the graph below and identify whether the function at interval 1 is increasing, decreasing or constant.
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.
Look at the graph below and identify whether the function at interval 1 is increasing, decreasing or constant.
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.
Which statement below accurately represents the graph?
In this question, We have to find the dollar earned in hour and which statement is true. Just read the graph carefully find x and y coordinate for same point. Apply same concept in similar questions.
Which statement below accurately represents the graph?
In this question, We have to find the dollar earned in hour and which statement is true. Just read the graph carefully find x and y coordinate for same point. Apply same concept in similar questions.
Identify the intervals in which the function is increasing.
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.
Identify the intervals in which the function is increasing.
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.
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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