Covered across all four courses at the level of simple rational functions, students work with the reciprocal function f(x) = 1/x and functions of the form f(x) = (ax + b)/(cx + d), identifying vertical and horizontal asymptotes and sketching graphs. In AA HL the treatment extends to more complex rational functions with quadratic denominators and oblique asymptotes, covered under the Further functions subtopic, alongside partial fractions as a decomposition technique with applications to integration.
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Video lessons
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