Consider the following statement about the linear dependence of the real valued functions y₁= 1, y₂= x and y ₃ =x², over the field of real numbers.
I. y₁, y₂ and y₃ are linearly independent on -1 ≤ x ≤ 0
II. y₁ , y₂ and y₃ are linearly dependent on 0 ≤ x ≤1
III. y₁ , y₂ and y₃ are linearly independent on 0 ≤x ≤1
IV. y₁, y₂ and y₃ are linearly dependent on -1 ≤ x ≤ 0
Which one among the following is correct?