IB skill practice

Analyse asymptotic behaviour of functions

Use limits and graph features to describe end behaviour and asymptotes.

Paper 1, Paper 2 5 marks Difficulty 3

Analyse asymptotic behaviour of functions - visual graph reading

For the rational graph shown, \(f(x)=\frac{1}{x}+1\). Enter the horizontal asymptote as \(x\to\infty\).

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.