During a Mathematics class, the teacher suggests to the students that a Cartesian coordinate system $(x, y)$ be established and represents on the board the description of five algebraic sets, I, II, III, IV and V, as follows: I - is the circle with equation $x^{2} + y^{2} = 9$; II - is the parabola with equation $y = -x^{2} - 1$, with $x$ varying from $-1$ to $1$; III - is the square formed by the vertices $(-2,1)$, $(-1,1)$, $(-1,2)$ and $(-2,2)$; IV - is the square formed by the vertices $(1,1)$, $(2,1)$, $(2,2)$ and $(1,2)$; V - is the point $(0,0)$. Next, the teacher correctly represents the five sets on the same grid, composed of squares with sides measuring one unit of length each, obtaining a figure. Which of these figures was drawn by the teacher? (A), (B), (C), (D), (E) [as shown in the figures]
During a Mathematics class, the teacher suggests to the students that a Cartesian coordinate system $(x, y)$ be established and represents on the board the description of five algebraic sets, I, II, III, IV and V, as follows:
I - is the circle with equation $x^{2} + y^{2} = 9$;
II - is the parabola with equation $y = -x^{2} - 1$, with $x$ varying from $-1$ to $1$;
III - is the square formed by the vertices $(-2,1)$, $(-1,1)$, $(-1,2)$ and $(-2,2)$;
IV - is the square formed by the vertices $(1,1)$, $(2,1)$, $(2,2)$ and $(1,2)$;
V - is the point $(0,0)$.
Next, the teacher correctly represents the five sets on the same grid, composed of squares with sides measuring one unit of length each, obtaining a figure.
Which of these figures was drawn by the teacher?
(A), (B), (C), (D), (E) [as shown in the figures]