Question
Identify the statement that best describes the increasing and decreasing of the graph.
- Decreasing and then increasing
- Increasing and then decreasing
- Increasing Only
- Decreasing Only
Hint:
The increasing interval in graph where line goes on upward on graph from left to right and slope of line is positive . The decreasing interval in graph where line goes towards downward on graph from left to right and slope is negative.
The correct answer is: Increasing and then decreasing
Here we need to find out that what is this graph is following increasing, decreasing , increasing then decreasing or decreasing then increasing.
Firstly, in order of find out we given by four points (-5,0),(-2,9),(0,5),(1,0)
Now we find the slope at each point if slope m value is negative then graph is decreasing or slope value is positive then graph value is positive.
At first point (-5,0) the slope of point is positive then the graph at this is increasing.
At second point (-2,9) the slope at this point is zero so the graph is constant at this point.
At third point (0,5) the slope at this point is negative so graph is now decreasing at this point.
At fourth point (1,0) the slope at this point is negative so graph is now decreasing at this point.
Hence,
The graph at start from left to right in that way , first the graph is increasing and later the graph is decreasing.
Therefore, The graph is increasing and then decreasing
So , the correct is answer is option (b).
You can apply same kind of method to find the intervals of the graph or function given in graph is increasing or decreasing at a point.
Related Questions to study
Is the given function increasing, decreasing or constant?
We can also find out the function is decreasing by looking at its line or curve or if the function is given the we must find first derivative if it was.
Is the given function increasing, decreasing or constant?
We can also find out the function is decreasing by looking at its line or curve or if the function is given the we must find first derivative if it was.
John drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed.
How much water is getting drained in five minutes?
In that same question we can also fine the how much amount of water remove in one minutes by 360/5=72. Which leads to us to find the water drained at any given minutes by multiplying in it.
John drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed.
How much water is getting drained in five minutes?
In that same question we can also fine the how much amount of water remove in one minutes by 360/5=72. Which leads to us to find the water drained at any given minutes by multiplying in it.
Look at the graph below and identify whether the function at interval 3 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 3 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.
Identify the intervals in which the function is constant.
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.
Identify the intervals in which the function is constant.
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.
Mike, who is a bicyclist is riding along a flat road. He then goes downhill. Can you identify the input variable when you represent the distance traveled over time with a qualitative graph?
The input variable are change or measured along the horizontal axis or x-axis and the output variable along the vertical axis or y-axis. And here Time is on x-axis and variable independent.
Mike, who is a bicyclist is riding along a flat road. He then goes downhill. Can you identify the input variable when you represent the distance traveled over time with a qualitative graph?
The input variable are change or measured along the horizontal axis or x-axis and the output variable along the vertical axis or y-axis. And here Time is on x-axis and variable independent.
Identify whether the function is increasing, decreasing or constant at the interval pointed in the graph
For finding increasing, decreasing and constant interval in any particular interval you must look line whose going downward , upward or horizontal and also find by finding slope of interval .
Identify whether the function is increasing, decreasing or constant at the interval pointed in the graph
For finding increasing, decreasing and constant interval in any particular interval you must look line whose going downward , upward or horizontal and also find by finding slope of interval .
John drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed.
Identify the input variable.
The input variable are change or measured along the horizontal axis or x-axis and the output variable along the vertical axis or y-axis.
John drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed.
Identify the input variable.
The input variable are change or measured along the horizontal axis or x-axis and the output variable along the vertical axis or y-axis.
How many increasing/decreasing intervals are there in this 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.
How many increasing/decreasing intervals are there in this 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.
What is the slope in the equation y = 2x + 3?
For finding the slope you need to remember the equation of the slope form of straight line is y=mx+b, where m is slope and b is intercept .
And also the slope is also called as tanƟ or m.
What is the slope in the equation y = 2x + 3?
For finding the slope you need to remember the equation of the slope form of straight line is y=mx+b, where m is slope and b is intercept .
And also the slope is also called as tanƟ or m.
What is the y-intercept of the following graph?
The y-intercept can be easily found by the locating the point of the line which cuts on y-axis and always remember the x-coordinate will be zero.
What is the y-intercept of the following graph?
The y-intercept can be easily found by the locating the point of the line which cuts on y-axis and always remember the x-coordinate will be zero.
John drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed.
Identify the out variable?
The input variable are change or measured along the horizontal axis or x-axis and the output variable along the vertical axis or y-axis.
John drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed.
Identify the out variable?
The input variable are change or measured along the horizontal axis or x-axis and the output variable along the vertical axis or y-axis.
Identify whether the function is increasing, decreasing or constant at the interval pointed in the graph.
For finding increasing, decreasing and constant interval in any particular interval you must look line whose going downward , upward or horizontal and also find by finding slope of interval .
Identify whether the function is increasing, decreasing or constant at the interval pointed in the graph.
For finding increasing, decreasing and constant interval in any particular interval you must look line whose going downward , upward or horizontal and also find by finding slope of interval .
Identify the intervals in which the function is decreasing.
For finding the decreasing functions in interval you must consider the given interval will be going downward from left to right .
Identify the intervals in which the function is decreasing.
For finding the decreasing functions in interval you must consider the given interval will be going downward from left to right .
Look at the graph below and identify whether the function at interval 2 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 2 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.
Mike, who is a bicyclist is riding along a flat road. He then goes downhill. Can you identify the output variable when you represent the distance traveled over time with a qualitative graph?
The input variable are change or measured along the horizontal axis or x-axis and the output variable along the vertical axis or y-axis. And here distance on which is dependent variable because it is at y-axis.
Mike, who is a bicyclist is riding along a flat road. He then goes downhill. Can you identify the output variable when you represent the distance traveled over time with a qualitative graph?
The input variable are change or measured along the horizontal axis or x-axis and the output variable along the vertical axis or y-axis. And here distance on which is dependent variable because it is at y-axis.
