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Unattributed TMUA Mock Set A Paper 1 · Q19

Paper 1Functions & graphs

f(x)f(x) is an odd function whose domain is R\mathbb R, and f(1)=0f(1)=0. When x>0x>0, xf′(x)−f(x)<0xf'(x)-f(x)<0. What is the complete set of xx for which x2f(x)>0x^2f(x)>0?

A(−∞,−1)∪(1,+∞)(-\infty,-1)\cup(1,+\infty)
B(−∞,−1)∪(0,1)(-\infty,-1)\cup(0,1)
C(−1,0)∪(0,1)(-1,0)\cup(0,1)
D(−1,0)∪(1,+∞)(-1,0)\cup(1,+\infty)

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