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Clavis TMUA Set A Paper 2 · Q18

Paper 2Logic & proofFunctions & graphsAlgebra

The function ff is a polynomial defined for all real xx.

Which one of the following is a necessary condition for

f(x)≥f(0)for all real xf(x)\geq f(0)\quad\text{for all real }x
Af(x)≥0f(x)\geq0 for all real xx
Bf′(0)=0f'(0)=0
Cf′(x)≥0f'(x)\geq0 for all real xx
Df′′(0)>0f''(0)>0
Ef′′(x)≥0f''(x)\geq0 for all real xx
Fff is an even function

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