The function f is defined by f : x |2x a|, {x }, where

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The function f is defined by f : x ↦ |2x − a|, {x ∈ ℝ}, where a is a positive constant.

a. Sketch the graph of y = f(x), showing the coordinates of the points where the graph cuts the axes.
b. On a separate diagram, sketch the graph of y = f(2x), showing the coordinates of the points where the graph cuts the axes.

c. Given that a solution of the equation f(x) = 1/2 x = 4, find the two possible values of a.

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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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Question Posted: Aug 05, 2023 01:55 AM

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The function f is defined by f : x |2x a|, {x }, where

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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