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I have been given the equation y = axn to investigate the gradient function for varied values of "a" and "n".

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  • Essay length: 4626 words
  • Submitted: 29/09/2003
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GCSE Gradient Function

The first 200 words of this essay...

I have been given the equation y = axn to investigate the gradient function for varied values of "a" and "n"

Firstly I will choose n = 1 for varied values of a

When n = 1 then the graph will be a straight line

The general equation of a straight line is y = ax

I am going to keep n constant and use varied values for "a".The gradient for a straight line remains the same, therefore I am going to calculate the gradient by taking the difference in the y co-ordinates divided by the difference in x co-ordinates.

In order to calculate the gradient for a straight line we will have to go through the process of calculating the gradient by taking the difference in y co-ordinates divided by the difference in the x co-ordinates.

I would then choose n = 2 for varying values of a where a = 1,2,3,4

The equations would be ; y = x2 , y = 2x2 , y = 3x2 , y = 4x2

These equations would get us curved graphs and the gradient function at each point in a

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