IB skill practice

Analyse envelopes of function families

Interpret envelopes and limiting curves in parameterized function families.

Paper 1, Paper 2 5 marks Difficulty 4

Analyse envelopes of function families - visual model point

For the family \(y=mx+\frac{7}{m}\), the envelope satisfies \(y^{2}=47x\). Enter the coefficient of \(x\).

Worked practice: result and interpretation

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