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There exists a function f(x) satisfying ...

There exists a function f(x) satisfying
`f{0} =1, f'{0} =-1, f(x) gt 0` for all x and

A

`f'(x) lt 0` for all x.

B

`-1 lt f''(x) lt 0` for all x.

C

`-2 le f''(x) le -1` for all x.

D

`f''(x) lt -2` for all x.

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The correct Answer is:
A
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