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Official 2020 Paper 2 · Q20

Paper 2Logic & proofFunctions & graphs

xx is a real number and ff is a function.

Given that exactly one of the following statements is true, which one is it?

Ax≥0x\geq0 only if f(x)<0f(x)<0
Bx<0x<0 if f(x)≥0f(x)\geq0
Cx≥0x\geq0 only if f(x)≥0f(x)\geq0
Df(x)<0f(x)<0 if x<0x<0
Ef(x)≥0f(x)\geq0 only if x≥0x\geq0
Ff(x)≥0f(x)\geq0 if and only if x<0x<0

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