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\leq x\leq1 $
III. $ y_1,\;y_2 $ and $y_3$ are linearly independent on $0\le x\le 1$
IV. $ y_1,\;y_2 $ and $y_3$ and are linearly dependent on $-1\le x\le 0$
Which one among the following is correct?