IB skill practice

Analyse continuity and differentiability at joins

Set conditions for continuity and differentiability in joined functions.

Paper 1, Paper 2 5 marks Difficulty 4

Analyse continuity and differentiability at joins - visual asymptote link

At the join \(x=2\), the left branch value is 2 and the right branch parameter is \(k\). Enter \(k\) for continuity.

Worked practice: result and interpretation

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