2024 IGCSE Additional Mathematics October/November 0606/13 Q1

2024 IGCSE Additional Mathematics October/November 0606/13 Q1

6 marks
  1. Find the coordinates of the stationary point on the curve \(y=(x+3)(x-4)\).[3]
  2. On the axes, sketch the graph of \(y=|(x+3)(x-4)|\), stating the intercepts with the axes.[2]
  3. Given that \(k>0\), write down the values of \(k\) for which the equation \(|(x+3)(x-4)|=k\) has exactly 2 distinct real roots.[1]

Solution:

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Answer:(a) \(\left(\dfrac12,-\dfrac{49}4\right)\). (b) Sketch shown; intercepts \((-3,0),(4,0),(0,12)\). (c) \(k>\dfrac{49}4\).

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