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linear correlation

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Introduction

- Introduction -

In this I will have to investigate graphs of function and how their shape and position change the coefficient of the functions. I will have to describe what is going on in the table of graphs and I will write a conclusion that is reasonable.

The software I could use is MathCad or Microsoft Excel; I have decided to use Microsoft Excel because I don’t have MathCad software.

The investigation would be divided into four parts as I am going to show you:

Linear Graph- the equation I will use is f(x)=mx+c

For this I will have to select my own values for m and c and I will have to discuss the out come of my answer and I will have to describe what I can see.

Quadratic equation the equations would be f(x)= ax2+bx+c

This is roughly the same as the first part but I will have to change one value in this one and then I will have to describe what I could see.

Cubic equation= equation would be f(x)= ax3+bx2+cx+d

I will be able to change A and d if I want I wouldn’t be able to change b and c because that has to kept the same.

Reciprocal graphs equation would be f(x)  a/x

...read more.

Middle

- Cubic equation- -

I have notice that f1 and f2 are the same I mean they both start with a negative number and they finish with a positive number, also f1 is increasing rapidly and for f3 going the opposite to the direction of f1 and f2 this is because I changed f3 to a minus x cube so this will cause it go to a different direction. This could be because I changed A number to a smaller number to see what effect it makes to f3 by doing this I also changed B, C, D because I wanted to see if I can get to curves in the graph but as you can see it created a two small curve and as to f1 and f2 it has one this is because for f2 I changed all the signs and all the numbers in it. I have notice that when I change my choices I can see a big effect because for f23 I have changed to a number to higher number then f1 and f2. this is because I wanted to see if I could get two curve lines in the graph.

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Quadratic equations f (x)=Ax^2+Bx+C

I notice

...read more.

Conclusion

Quadratic Graph- I have notice that f1 and f2 are the same I mean they both start with a negative number and they finish with a positive number, also f1 is increasing rapidly and for f3 going the opposite to the direction of f1 and f2 this is because I changed f3 to a minus x cube so this will cause it go to a different direction.

Cubic Equation- I notice that when I changed the signs of A from plus to a minus the line just turns up side down because of the change in the plus and the minus. With f2 I tried a different approach because I wanted a different answer to my graph but it also gave me a slope but this slope goes through the negative numbers only.  For f3 it is a steeper slope because it’s a higher negative number.

Reciprocal graphs – for this I had done to graphs because I thought I can get different data, but as you can see the graph roughly the same but in the second graph you can see that f1 increases rapidly this is because the number is high negative number.

...read more.

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