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The Gradient Function
Member rating: No Rating | Words: | Submitted: Thu Jan 13 2005
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The Gradient Function The aim of this investigation is to discover the gradient function for the graphs y = ax where a and n are constants. I will do this by beginning with the simplest cases, as I believe that these will be the most simple equations to solve. I am doing this in the hope that discovering the equations for these simple cases will aid me in discovering the more complex formulas. Firstly I will construct the graphs of: y=x, y=2x, y=3x, y=4x. And attempt to find a general equation. Y=x X 1 2 3 4 Y 1 2 3 4 Y=2x X 1 2 3 4 Y 2 4 6 8 Y=3x X 1 2 3 4 Y 3 6 9 12 Y=4x X 1 2 3 4 Y 4 8 12 16 (Graph1) Using the rule stated on the candidate sheet I can calculated the gradient for each of the above straight lines. Equation of line Gradient Function Y=x 1 Y=2x 2 Y=3x 3 Y=4x 4 Doing this I have discovered that the co-efficient of x is the gradient of the line. I will now go on to construct the graph of y=x2. This is because I know that the graph of x2 will be a...
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