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4 marksThe Modulus Function

CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 2 · Question 1(a)(ii)

The function f(x) = x(2-x) is given. You need to complete a table for |f(x)|.

Sketch the graph of |f(x)| for -2 ≤ x ≤ 4.

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Other parts of this question

  1. 1(a)(i)Complete the table below for the function |f(x)|, where f(x) = x(2-x).[2 marks]
  2. 1(b)Find the value(s) of the real number, k, for which the equation k(x² + 5) = 6 + 12x - x² has equal roots.[6 marks]
  3. 1(c)(i)If 2^(x²) = 16^(x-1), find x.[4 marks]
  4. 1(c)(ii)Without using calculators or tables, evaluate (√2 + 1)³ - (√2 - 1)³.[4 marks]

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