165 posts
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let f(x) be a differentiable function over the interval [0,2]. It is given f(0) =1 and f(x)<= 0 implies f'(x) >0 Then,
a) f(x) <0 in some interval [0,2]
b) f(x) >=0 for all x in interval [0,2]
c) f(x) =0 for all x in interval [0,1]
d) f(x) is strictly positive for all 0<x<1 and strictly negative for all 1<x<2
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