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3 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 1999 · Paper 2 · Question 6(a)

The function g is given by g(x) = (x² - 1)(x + 1), x ∈ R.

Find g(0), g(1) and g(-1).

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Other parts of this question

  1. 6(b)Obtain an expression for the derivative g'(x) of g at x ∈ R.[2 marks]
  2. 6(c)Find the stationary points of g.[4 marks]
  3. 6(d)(i)Determine the value(s) of x where g has a local maximum.[2 marks]
  4. 6(d)(ii)Determine the value(s) of x where g has a local minimum.[2 marks]
  5. 6(e)Using the above, and any other information, sketch the graph of g.[7 marks]

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