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Official 2020 Paper 1 · Q8

Paper 1Functions & graphs

The function ff is defined for all real xx as

f(x)=(p−x)(x+2)f(x)=(p-x)(x+2)

Find the complete set of values of pp for which the maximum value of f(x)f(x) is less than 4.

A−2−42<p<−2+42-2-4\sqrt2<p<-2+4\sqrt2
B−2−22<p<−2+22-2-2\sqrt2<p<-2+2\sqrt2
C−25<p<25-2\sqrt5<p<2\sqrt5
D−6<p<2-6<p<2
E−4<p<0-4<p<0
F−2<p<2-2<p<2

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