Question

graph y=2x-x^3. How many turning points are there?

Answer 1

\[ y=2x-x^3\]
\[ y'=2-3x^2 = 0, \implies x^2 = \dfrac{2}3{}, \quad x = \pm \sqrt{\dfrac{2}3{}}\]

go from there?

Answer 2

The x^3 term is negative so the graph will have a downward trend as it goes from left to right. And there should be 2 turning points. So this eliminates A and B. What graph (C or D) has a trend that goes downward?

Answer 3

@elvisiscool69

Answer 4

c?

Answer 5

Yes! Correct.

Answer 6

really?!

Answer 7

yeah