Quelpr
2 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2009 · Paper 2 · Question 2(c)(iii)

The function f on ℝ is defined by f(x) = {x-3 if x≤3; 4 if x>3}.

Find the value of f[f(3)].

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 2(a)Without solving the equation, find a quadratic equation with roots 2/α and 2/β.[6 marks]
  2. 2(b)Express f as a set of ordered pairs.[4 marks]
  3. 2(b)(ii)a)State TWO reasons why f is NOT a function.[2 marks]
  4. 2(b)(ii)b)Hence, with MINIMUM changes to f, construct a function g : A → B as a set of ordered pairs.[4 marks]
  5. 2(b)(ii)c)Determine how many different functions are possible for g in (ii) b) above.[2 marks]
  6. 2(c)Find the value of f[f(20)].[3 marks]
  7. 2(c)(ii)Find the value of f[f(8)].[2 marks]

More practice: the rest of this paper · more Functions questions · all CAPE Pure Mathematics Unit 1 past papers