Maths Olympiad Prep

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, 2016

Geometry Difficulty 2.0 Junior Prove it United Kingdom

The notation x|x| is used to denote the absolute value of a number, regardless of sign. For example, 7=7=7|7| = |-7| = 7. The graphs y=2x3y = |2x| - 3 and y=xy = |x| are drawn on the same set of axes. What is the area enclosed by them?

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