IB skill practice

Analyse envelopes of function families

Interpret envelopes and limiting curves in parameterized function families.

Paper 1, Paper 2 5 marks Difficulty 5

Analyse envelopes of function families - visual interpretation link

For the family \(y=mx+\frac{5}{m}\), the envelope satisfies \(y^{2}=45x\). Enter the coefficient of \(x\).

Worked practice: result and interpretation

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