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tmua.fyi Paper 1 Challenge 2 · Q1

Paper 1Functions & graphsAlgebra

The diagram shows the graph of y=f(x)y=f(x), where f(x)=(x−1)2(x+2)f(x)=(x-1)^2(x+2). Diagram for question 1 Find the complete set of values of kk for which the equation ∣f(x)∣=k|f(x)|=k has exactly four distinct real solutions.

Ak=0k=0
B0≤k<40\le k<4
C0<k≤40<k\le4
Dk>4k>4
E0<k<20<k<2
F0<k<40<k<4
G2<k<42<k<4
Hthere is no such kk

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