2026 IGCSE Additional Mathematics May/June 0606/22 Q4

2026 IGCSE Additional Mathematics May/June 0606/22 Q4

7 marks
  1. On the axes, sketch the graph of \(y=|x^2-5|\).
    State the intercepts with the coordinate axes.[3]
  2. It is given that \(\mathrm f(x)=ax+b\) where \(a\) and \(b\) are non-zero integers.
    The solutions of the equation \(|\mathrm f(x)|=4\) are \(x=2.5\) and \(x=-1.5\).
    Find the possible expressions for \(\mathrm f(x)\).[4]

Solution:

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Answer:(a) Sketch shown; intercepts \((-\sqrt5,0)\), \((\sqrt5,0)\), \((0,5)\). (b) \(2x-1\) or \(-2x+1\).

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