For the function $f$ given above, determine whether the following conditions are true. Input T if the condition is true, otherwise input F .

(a) $f'(x)<0$ if $0<x<2$;
(b) $f'(x)>0$ if $x>2$;
(c) $f''(x)<0$ if $0\le x<1$;
(d) $f''(x)>0$ if $1<x<4$.
(e) $f''(x)<0$ if $x>4$;
(f) Two inflection points of $f(x)$ are, the smaller one is $x=$ and the other is $x=$