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Clavis TMUA Set B Paper 2 · Q8

Paper 2Logic & proofFunctions & graphs

The function ff is defined for all real xx by

f(x)=x∣x∣.f(x)=x|x|.

Which of the following statements must be true?

  • I ff is an even function.
  • II ff is strictly increasing.
  • III f(x)=0f(x)=0 only when x=0x=0.
Anone of them
BI only
CII only
DIII only
EI and II only
FI and III only
GII and III only
HI, II and III

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