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Graph Original of Equation y=3x^5-3x+1

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Introduction

This is a graph of the original equation, in the form x = g (x), I am investigating:

0 = 3x^5 - 3x + 1

image00.png

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Middle

The Rearrangement method, firstly, draws a vertical line between the 2 curves. When it reaches the second curve, another line is drawn horizontally. This carries on until a value of the function is calculated to the required accuracy. However, for this method to work, the gradient

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Conclusion

image03.png

This reading says ‘Overflow’. This means that it can not be calculated using this method. As seen and stated in the graph above, the lines drawn are getting further apart. This is also shown in the ‘▲x’ column in the table of results, where the answers get larger and larger.

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