Functions Question 60

Question: There exists a function $ f(x) $ satisfying $ f(0)=1 $ , $ f’(0)=-1,\ f(x)>0 $ for all x and

[Kurukshetra CEE 1998]

Options:

A) $ f(x)<0 $ , $ \forall x $

B) $ -1<f’’(x)<0,,\forall x $

C) $ -2<f’’(x)\le -1,,\forall x $

D) $ f’’(x)<-2,,\forall x $

Show Answer

Answer:

Correct Answer: D

Solution:

It is obvious.