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Consider the following statements 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 numbers.

1. $y_{1},y_{2}$ and $y_{3}$ are linearly independent on $-1\leq x\leq 0$
2. $y_{1},y_{2}$ and $y_{3}$ are linearly dependent on $0\leq x\leq 1$
3. $y_{1},y_{2}$ and $y_{3}$ are linearly independent on $0\leq x\leq 1$
4. $y_{1},y_{2}$ and $y_{3}$ are linearly dependent on $-1\leq x\leq 0$

Which one among the following is correct?

1. Both I and II are true
2. Both I and III are true
3. Both II and IV are true
4. Both III and IV are true