CAIE P1 2011 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2011
SessionNovember
TopicCurve Sketching
TypeCurve from derivative information

4 A function f is defined for \(x \in \mathbb { R }\) and is such that \(\mathrm { f } ^ { \prime } ( x ) = 2 x - 6\). The range of the function is given by \(\mathrm { f } ( x ) \geqslant - 4\).
  1. State the value of \(x\) for which \(\mathrm { f } ( x )\) has a stationary value.
  2. Find an expression for \(\mathrm { f } ( x )\) in terms of \(x\).