2. Example Question: At the side, the area between a 3rd order function and the x-axis and consisting of 3 parts is asked. By changing the coefficients of the function in the example, you can write a 3rd degree function yourself and calculate the area of the 3-part region between it and the x-axis. [ (6; 60) f(x)=x' -5x' + 4x (0,46; 0,88) 6. Ai (2,87;-6,07) Hint: Finding the points where the axis intersects while drawing the graph will give an idea about the graph. You can also tell if the graph is below or above the x-axis by giving a value instead of x, and from the resulting y-value. Finally, if you modify the function to be factorisable, you can easily find the points where it crosses the axis.
2. Example Question: At the side, the area between a 3rd order function and the x-axis and consisting of 3 parts is asked. By changing the coefficients of the function in the example, you can write a 3rd degree function yourself and calculate the area of the 3-part region between it and the x-axis. [ (6; 60) f(x)=x' -5x' + 4x (0,46; 0,88) 6. Ai (2,87;-6,07) Hint: Finding the points where the axis intersects while drawing the graph will give an idea about the graph. You can also tell if the graph is below or above the x-axis by giving a value instead of x, and from the resulting y-value. Finally, if you modify the function to be factorisable, you can easily find the points where it crosses the axis.
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
Related questions
Question
please SOLVE Q2
![Below is an example of calculating an area with 2 types of integrals.
First, choose one of the questions below and write a new function that you can plot by changing the numbers of the function given in that
question. Then calculate the area of the region between this function and the x-axis for the x interval you will define. Make sure your solutions are
legible, understandable and that you show calculations. Do not forget that the functions you have determined are sent to homework.
1. Example Question: The area between two curves is asked. You can calculate the area between a parabola and a line that you can easily graph.
Hint: You can find the intersection points by synchronizing the two functions.
12
y = 3x²
9.
y = 6x
3
0,5
1,5
2. Example Question: At the side, the area between a 3rd order function and the x-axis and consisting of 3 parts is asked. By changing the
coefficients of the function in the example, you can write a 3rd degree function yourself and calculate the area of the 3-part region between
it and the x-axis.
(6; 60)
f(x)=x' – 5x² + 4x
(0,46; 0,88)
1
4
(2,87;-6,07)
Hint: Finding the points where the axis intersects while drawing the graph will give an idea about the graph. You can also tell if
the graph is below or above the x-axis by giving a value instead of x, and from the resulting y-value. Finally, if you modify the
function to be factorisable, you can easily find the points where it crosses the axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d488669-2ee3-4b7e-bb97-5801d434bce2%2F6a88ca4e-96f7-4b2b-8722-9120a8ba5ad7%2F5lr2wlv_processed.png&w=3840&q=75)
Transcribed Image Text:Below is an example of calculating an area with 2 types of integrals.
First, choose one of the questions below and write a new function that you can plot by changing the numbers of the function given in that
question. Then calculate the area of the region between this function and the x-axis for the x interval you will define. Make sure your solutions are
legible, understandable and that you show calculations. Do not forget that the functions you have determined are sent to homework.
1. Example Question: The area between two curves is asked. You can calculate the area between a parabola and a line that you can easily graph.
Hint: You can find the intersection points by synchronizing the two functions.
12
y = 3x²
9.
y = 6x
3
0,5
1,5
2. Example Question: At the side, the area between a 3rd order function and the x-axis and consisting of 3 parts is asked. By changing the
coefficients of the function in the example, you can write a 3rd degree function yourself and calculate the area of the 3-part region between
it and the x-axis.
(6; 60)
f(x)=x' – 5x² + 4x
(0,46; 0,88)
1
4
(2,87;-6,07)
Hint: Finding the points where the axis intersects while drawing the graph will give an idea about the graph. You can also tell if
the graph is below or above the x-axis by giving a value instead of x, and from the resulting y-value. Finally, if you modify the
function to be factorisable, you can easily find the points where it crosses the axis.
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