IB skill practice

Analyse rational functions and asymptotes

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

Paper 1 6 marks Difficulty 2

Use a point to read rational graph behaviour

For \(f(x)=\frac{9}{x-1}-2\), state both asymptotes and calculate the point value \(f(4)\).

Worked practice: rational-function features

Identify the asymptotes and any requested intercept or check value.