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GCSE Math's Coursework Gradient Function In this investigation I am going to investigate the gradients of the graphs Y=AXN Where A and N are constants. I shall then use the information to find a formula for all curved graphs. To start the investigation I will draw the graphs where A=1 and N= a positive integer. Y=X2 X Height Width Gradient 1 1 0.5 2 2 4 1 4 3 9 1.5 6 4 16 2 8 Looking at the results above I can see that the gradient is twice the X value, the height is X2 and the width is 1/2 the X value. This shows me that there are several patterns in the graph but there is not enough to make a formula on so I am going to do another graph Y=X3 X Height Width Gradient 1 1 0.33 3 2 8 0.66 12 3 27 1 27 4 64 1.33 48 There are some more patterns in this table, the height is now X3 and the width is 1/3 of the X value. I can see no pattern between the Gradient and the X value in this table. By comparing the two tables I...

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