Consider the following statement about the linear dependence of the real valued function y_{1}=1, y_{2}=x and y_{3}=x^{2}, over the field of real of real numbers.
I. y_{1},y_{2} and y_{3} are linearly independent on $-1\le x\le 0$
II. y_{1},y_{2} and y_{3} are linearly dependent on $0<x<1$
III. y_{1},y_{2} and y_{3} are linearly independent on $0\le x\le 1$
IV. y_{1},y_{2} and y_{3} are linearly dependent on $-1\le x\le 0$
Which one among the following is correct?