Graph y = 2x – x^3. How many turning points are there?
( I will attach pictures. ) *

There are two turning points.
There are no turning points.

Question

Graph y = 2x – x^3.  How many turning points are there?
( I will attach pictures. ) *


There are two turning points.
There are no turning points.

anonymous · Answer

attachment

anonymous · Answer

Note that the x^3 term is negative, so it has an overall downward trend as you go from left-to-right.

anonymous · Answer

You can also note, by factoring, that  y = x(2 – x^2) passes through (0,0).

anonymous · Answer

oh noooo , its the 2nd !

anonymous · Answer

From those two properties, you can eliminate the three obviously wrong choices.

anonymous · Answer

So , am i rite ?

anonymous · Answer

Why do you think you are right based on what I said?

anonymous · Answer

There is only one graph that displays y = -x^3 behavior.

anonymous · Answer

i just confused myself -_____________-

anonymous · Answer

Then take a break, come back, read what I said, and look at the equation and the graphs again.

Better yet, ignore the multiple choice answers and graph the function yourself.