On the x-y coordinate plane there is a parabola, y=x(8-x). Which of the following points is in the region that is enclosed by this parabola and the x-axis?
I. (2, 4) II. (3, 6) III. (5, 4)	Choices:	A) I only	B) II only	C) III only	D) I and II	E) I, II, and III
Since co-efficient of x^2 is negative, the parabola will be downward facing. So the parabola and the x axis will enclose some points where the y-values of the parabola are positive.   When x = 2, y = 12 lies on the parabola, so (2, 4) will be enclosed by the parabola and x axis.   When x = 3, y = 15 lies on the parabola, so (3, 6) will be enclosed by the parabola and x axis.   When x = 5, y = 15 lies on the parabola, so (5, 4) will be enclosed by the parabola and x axis.   The answer is I, II, and III.
<result>E</result>
On the x-y coordinate plane there is a parabola, y=x(8-x). Which of the following points is in the region that is enclosed by this parabola and the x-axis?
I. (2, 4) II. (3, 6) III. (5, 4)