Question

What are the inflection points of the graph x^3 - 3x + 2?
A. The point of inflection are at (1, 0) and (-1, 4).
B. The point of inflection are at (0, 2) and (-1, 4).
C. The point of inflection is at (0, 2).
D. The point of inflection is at (0, -2).

Answer 1

Find the second derivative and find where it changes from positive to negative.

Answer 2

the second derivative is 6x

Answer 3

What do you think you should do with that second derivative?

Answer 4

set equal to 0? and solve?

Answer 5

Then do it.

Answer 6

ok i get x = 0

Answer 7

That is the x coordinate of the inflection point. Plug that value back into the original function to find the y coordinate of the inflection point.

Answer 8

plug it into x^3 - 3x + 2 ?

Answer 9

Plug that value back into the original function

Answer 10

ok

Answer 11

i get 2

Answer 12

so its C

Answer 13

@electrokid can u help?

Answer 14

A plot is attached.

Answer 15

okay so it is C

Answer 16

Yes. 6x is the second derivative. When set to zero, x = 0, y = 2

Answer 17

okay

Answer 18

Thank you for the medal.