a. Sketch the graph of y = |2x + a|, a > 0, showing the coordinates of

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a. Sketch the graph of y = |2x + a|, a > 0, showing the coordinates of the points where the graph meets the coordinate axes.

b. On the same axes, sketch the graph of y = 1/x.

c. Explain how your graphs show that there is only one solution of the equation x|2x + a| − 1 = 0

d. Find, using algebra, the value of x for which x|2x + a| − 1 = 0.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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