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Modulus Function - Graphs of Modulus Function

Modulus Function - Graphs of Modulus Function

IP 3
  1. On the same diagram, sketch the graphs of \(y=\left| 2x-1 \right|\) and \(y=-\left| 2-4x \right|+2\).
  2. Find the values of \(x\) which satisfy both equations \(y=\left| 2x-1 \right|\) and \(y=-\left| 2-4x \right|+2\).
  3. Hence, state the range of values of \(x\) for \(-\left| 2-4x \right|+2>\left| 2x-1 \right|\).

Solution:

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Answer:(ii) \(x=\frac16,\frac56\). (iii) \(\frac16<x<\frac56\). Graphs shown in the solution.

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