The function f(x)=-x^2+4x-3 is graphed in the xy-coordinate plane as shown.

Based on the graph of the function, which of the following statements are true? Select all that apply.

f(x)<0 on the interval x<0.
f(x)>0 on the interval x<0.
f(x)<0 on the interval 0<x<1.
f(x)>0 on the interval 0<x<1.
f(x)<0 on the interval 1<x<3.
f(x)>0 on the interval 1<x<3.
f(x)<0 on the interval x>3.
f(x)>0 on the interval x>3.

The correct statements are:

f(x)<0 on the interval x<0.
f(x)<0 on the interval 1<x<3.
f(x)>0 on the interval 0<x<1.
f(x)>0 on the interval x>3.