(a) Determine the y-values for a typical set of x-values and write them in a table.

x -2 -1 0 1 2 3
y -6 -2 0 0 -2 -6

(b) Since `y = 0` for both `x = 0` and `x = 1`, check what happens in between.

That is, for `x=1/2,` we find that `y=1/4`.

123-1-21-1-2-3-4xyOpen image in a new page

Graph of `y=x-x^2`, a parabola.

Note the curve continues beyond what is shown in the graph. This is just a general question and there are no practical limits for either the x- or y-values.