Which of the points A (-1; -1); B (2; -8), (3; 27) on the graph of the function y = -x ^ 3.

Let us check whether the points A (-1; -1), B (2; -8), C (3; 27) belong to the graph of the function y = -x ^ 3 by substituting the coordinates of the points in the formula.

a) Check the position of point A (-1; -1):

-1 = – (- 1) ^ 3;

-1 = 1 – wrong, point A (-1; -1) is not on the graph y = -x ^ 3.

b) Check B (2; -8):

-8 = -2 ^ 3;

-8 = -2 * 2 * 2;

-8 = -8 – true, point B (2; -8) is on the graph y = -x ^ 3.

c) Check point C (3; 27):

27 = -3 ^ 3;

27 = -3 * 3 * 3;

27 = -27 – wrong, point C (3; 27) does not belong to the graph y = -x ^ 3.

Answer: point B belongs to the graph y = -x ^ 3.