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Investigating the Gradient of a Graph of theForm ‘y=x3’

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Introduction

Investigating the Gradient of a Graph of the Form 'y=x3' Aim: To find a relationship between the gradient of 'y= x3' and its formula. Thus working out the gradient function. In this case I will measure the gradient at, -4, -2, 3, and 5. ...read more.

Middle

Then you form a right-angled triangle on the tangent and find the gradient as for the 'y=ax' graph. (As shown on graph) e.g. 27 27-8= 19 8 2 3-2= 1 3 gradient=y/x =3/1 GRADIENT=3 Results x y Gradient -4 -2 3 5 64 8 27 125 Conclusion From these results I can conclude that the gradient function for the graph 'y= x3' is 3x2. ...read more.

Conclusion

* G = 3x2 * G = 3 x 0.52 * Gradient = 0.75 Results II X y gradient 0.5 0.125 Conclusion II This proves that the gradient function for the graph 'y= x3' is 3x2. However, I can also conclude that the method of using tangents to measure the gradient is too inaccurate to produce good results. Therefore, in my next investigation I will use the small increment method. ...read more.

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