2024 IGCSE Additional Mathematics May/June 0606/22 Q1

2024 IGCSE Additional Mathematics May/June 0606/22 Q1

6 marks
  1. On the axes, sketch the graph of \(y=(2x-5)(x+3)(1-x)\), stating the intercepts with the coordinate axes.[3]
  2. Hence
    1. solve the inequality \((2x-5)(x+3)(1-x)\leq0\)[2]
    2. on the axes below, sketch the graph of \(y=|(2x-5)(x+3)(1-x)|\).[1]

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Answer:(a) Intercepts \((-3,0),(1,0),\left(\dfrac52,0\right),(0,-15)\); graph shown. (b)(i) \(-3\leq x\leq1\) or \(x\geq\dfrac52\). (ii) Absolute-value sketch shown.

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