IB skill practice

Use parameterized rational functions

Interpret asymptotes, intercepts, and parameters in rational function families.

Paper 1, Paper 2 5 marks Difficulty 4

Use parameterized rational functions - visual asymptote link

For \(f(x)=\frac{1}{x-a}\), enter \(a\) if the vertical asymptote is \(x=3\) and the shift is 0.

Worked practice: result and interpretation

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