Edexcel C3 Specimen — Question 1

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
SessionSpecimen
TopicModulus function

  1. The function f is defined by
$$\mathrm { f } : x \mapsto | x - 2 | - 3 , x \in \mathbb { R }$$
  1. Solve the equation \(\mathrm { f } ( x ) = 1\). The function g is defined by $$\mathrm { g } : x \mapsto x ^ { 2 } - 4 x + 11 , x \geq 0$$
  2. Find the range of g .
  3. Find \(g f ( - 1 )\).