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Modulus Function - Graphs of Modulus Function

Modulus Function - Graphs of Modulus Function

IP 3
  1. Sketch the graph of \(y=\left| {{x}^{2}}-4 \right|\).
  2. Solve \(\left| {{x}^{2}}-4 \right|=-3x.\)
  3. Determine the range of values of \(k\) such that \(\left| {{x}^{2}}-4 \right|=k\) has \(4\) solutions.

Solution:

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Answer:(ii) \(x=-4,-1\). (iii) \(0<k<4\).

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