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Clavis TMUA Set B Paper 2 · Q20

Paper 2Logic & proofFunctions & graphsAlgebra

The function ff is defined for all real xx and satisfies

f(x+2)=f(x)for all real x.f(x+2)=f(x)\quad\text{for all real }x.

Which of the following statements is/are necessarily true?

  • I f(x+6)=f(x)f(x+6)=f(x) for all real xx.
  • II f(1)=f(2)f(1)=f(2).
  • III If ff is a polynomial then ff is constant.
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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