MYP 5 Mathematics — Criterion B Mathematical Investigation "A Bounded Family" | 50–60 minutes | 30 marks A complete Criterion B investigation paper for IB MYP 5 Extended Mathematics. Students explore the family of functions f(x) = xⁿ(2 − x)ⁿ, discover how n controls the shape of the graph (local maxima, minima, inflexion points), and generalize the result to g(x) = xⁿ(a − x)ⁿ. ★ STRUCTURED BY CRITERION B LEVELS - Part A (Q1–Q3): Establish & Predict — Levels 1–4 - Part B (Q4–Q6): Generalize & For