Edexcel C3 2013 June — Question 2

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2013
SessionJune
TopicCurve Sketching
TypeSketch transformations from algebraic function

2. Given that $$\mathrm { f } ( x ) = \ln x , \quad x > 0$$ sketch on separate axes the graphs of
  1. \(\quad y = \mathrm { f } ( x )\),
  2. \(y = | \mathrm { f } ( x ) |\),
  3. \(y = - \mathrm { f } ( x - 4 )\). Show, on each diagram, the point where the graph meets or crosses the \(x\)-axis. In each case, state the equation of the asymptote.