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Euclid Sample Paper 2 · Q18

Paper 2Logic & proofFunctions & graphs

A differentiable function ff satisfies

f′(x)=(x2−1)(x2−4)f'(x)=(x^2-1)(x^2-4)

for every real xx. Which of the following statements must be true?

  • I. f(x)+f(−x)=2f(0)f(x)+f(-x)=2f(0) for every real xx.
  • II. The curve y=f(x)y=f(x) has exactly two local minimum points.
  • III. f(−1)<f(−2)<f(2)<f(1)f(-1)<f(-2)<f(2)<f(1).
Anone
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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