CAIE P1 2019 June — Question 1

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2019
SessionJune
TopicInequalities

1 The function f is defined by \(\mathrm { f } ( x ) = x ^ { 2 } - 4 x + 8\) for \(x \in \mathbb { R }\).
  1. Express \(x ^ { 2 } - 4 x + 8\) in the form \(( x - a ) ^ { 2 } + b\).
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  2. Hence find the set of values of \(x\) for which \(\mathrm { f } ( x ) < 9\), giving your answer in exact form.