IB skill practice

Analyse rational functions and asymptotes

Find asymptotes, intercepts, and behaviour of simple rational functions.

Paper 1 6 marks Difficulty 2

Solve a translated reciprocal equation

For \(f(x)=\frac{6}{x-2}+1\), state both asymptotes and solve \(f(x)=4\).

Worked practice: rational-function features

Identify the asymptotes and any requested intercept or check value.