OCR H240/01 2020 November — Question 9

Exam BoardOCR
ModuleH240/01 (Pure Mathematics)
Year2020
SessionNovember
TopicModulus function

9
\includegraphics[max width=\textwidth, alt={}, center]{febe231d-200a-4957-b41b-de5b9be98b0a-6_391_606_1672_244} The diagram shows the graph of \(y = | 2 x - 3 |\).
  1. State the coordinates of the points of intersection with the axes.
  2. Given that the graphs of \(y = | 2 x - 3 |\) and \(y = a x + 2\) have two distinct points of intersection, determine
    1. the set of possible values of \(a\),
    2. the \(x\)-coordinates of the points of intersection of these graphs, giving your answers in terms of \(a\).