Answer:
See below
Step-by-step explanation:
<em><u>A</u></em>
consider what the graph looks like. It has intercepts at x = - 2 and x = 4. I consider (0,0) to be an intercept as well even though the graph merely changes direction at 0,0. In my mind there are 3 intercepts.
More precisely, the intercepts are at (0,0) (-2,0) and (4,0
<em><u>B</u></em>
The y intercept is at (0,0)
<em><u>C</u></em>
The three turning points are (I should have marked them. You should go to Desmos and put the graph in and use your mouse to click on the points where you have local minimums and maximums. You should be able to confirm my findings).
(-1.386, -6.353)
(0,0)
(2.886, - 45.335)
<em><u>D</u></em>
As x approaches - infinity the range is increasing. y is getting larger.
As x approaches +infinity, y is getting larger.
We can simply observe that.
Since the product of two rational numbers is always rational, we have that
are all rationals, since they are the product of two rationals.
On the other hand, we have
and thus
which is irrational.