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Y and A Tutoring Paper 2 with Answers and Hints · Q20

Paper 2Logic & proofFunctions & graphs

ff is a function and a,ba,b are real numbers.

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

Af(a)≥f(b)f(a)\ge f(b) if and only if a≥ba\ge b
Bf(a)≥f(b)f(a)\ge f(b) only if a<ba<b
Cf(a)<f(b)f(a)<f(b) if a≥ba\ge b
Da≥ba\ge b if f(a)≥f(b)f(a)\ge f(b)
Ea<ba<b only if f(a)≥f(b)f(a)\ge f(b)

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