Re: jnu 2017 answers sss, let's discuss

Posted by soimmoi on Dec 08, 2017; 10:45am
URL: http://discussion-forum.276.s1.nabble.com/jnu-2017-answers-sss-let-s-discuss-tp7608176p7608414.html

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