TMUA 2022 Paper 1 Q20 — Worked Solution

P1·Functions, Transformations & Graphs·7.5Official · 2022 · Q20

modulus-graphcount-intersectionscase-analysis

n

is the number of points of intersection of the graphs

y = ∣ x^{2} - a^{2} ∣ and y = a^{2} ∣ x - 1∣

where

a

is a real number.What is the smallest value of

n

that is not possible?

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