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Official 2021 Paper 1 · Q11

Paper 1Functions & graphs

The function ff is given by

f(x)=x1/7(x2−x+1)f(x)=x^{1/7}(x^2-x+1)

Find the fraction of the interval 0<x<10<x<1 for which f(x)f(x) is decreasing.

A215\frac2{15}
B15\frac15
C13\frac13
D12\frac12
E23\frac23
F45\frac45
G1315\frac{13}{15}

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