Edexcel C1 2007 January — Question 3

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2007
SessionJanuary
TopicFunction Transformations
TypeAsymptotes after transformation
3. Given that \(\quad \mathrm { f } ( x ) = \frac { 1 } { x } , \quad x \neq 0\),
  1. sketch the graph of \(y = \mathrm { f } ( x ) + 3\) and state the equations of the asymptotes.
  2. Find the coordinates of the point where \(y = \mathrm { f } ( x ) + 3\) crosses a coordinate axis.
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