Candidates should be able to:

• sketch graphs of simple rational functions, including the determination of oblique asymptotes, in cases where the degree of the numerator and the denominator are at most 2 (Including determination of the set of values taken by the function, e.g. by the use of a discriminant.
  Detailed plotting of curves will not be required, but sketches will generally be expected to show significant features, such as turning points, asymptotes and intersections with the axes.)
• understand and use relationships between the graphs of \(y = f(x) , y^2 = f(x) , y = \frac{1}{f(x)} , y = |f(x)|\) and \(y = f(|x|)\). (Including use of such sketch graphs in the course of solving equations or inequalities.)

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Rational functions and graphs – Further Pure Maths 1 Video (2 Parts) (2:20:26)

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