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2 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 1 · Question 1(a)

The diagram shows the graph of f(x) = x^3 + hx^2 - 8x + k, where h and k are constants. The y-intercept is at (0, 12) and a local minimum on the x-axis is at (2, 0).

From the graph, state the value of EACH of f(0) and f(2).

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Other parts of this question

  1. 1(b)Hence, or otherwise, find the value of EACH of the constants h and k.[3 marks]
  2. 1(c)Factorise f(x) completely.[4 marks]

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