CAIE P2 2024 March — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2024
SessionMarch
TopicModulus function

2
  1. Sketch the graph of \(y = | 3 x - 7 |\), stating the coordinates of the points where the graph meets the axes.
  2. Hence find the set of values of the constant \(k\) for which the equation \(| 3 \mathrm { x } - 7 | = \mathrm { k } ( \mathrm { x } - 4 )\) has exactly two real roots.