Quelpr
8 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2016 · Paper 2 · Question 2(b)

A function f is defined by f(x) = (x + 3) / (x - 1), x ≠ 1.

Determine whether f is bijective, that is, both one-to-one and onto.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 2(a)Solve the following equation for x: log₂(10 - x) + log₂x = 4.[6 marks]
  2. 2(c)(i)State the values of α + β + γ, αβ + αγ + βγ and αβγ.[3 marks]
  3. 2(c)(ii)Hence, or otherwise, determine an equation with integer coefficients which has roots 1/α², 1/β² and 1/γ². Note: (αβ)² + (αγ)² + (βγ)² = (αβ + αγ + βγ)² – 2αβγ…[8 marks]

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