b) is only half right.
The answer is yes not because of the point (-2,0), but because of the point (2,0).
F(0) = -2 provides the point (0, -2) not (-2, 0).
Suppose that F(0)=-2 and F(2)=0
a) Which of the four points (0,-2), (-2,0) (2,0), (0,2) must be on the graph of F?
b) Does F have a root at 0? Justify.
c) Does F have a root at x=2? Justify.
For these answers I got:
b) Yes at x=-2. This is because of the coordinates (-2,0)
c) Yes at x= 2 this is because of the coordinates (2,0)
Are these answers correct?