Question

ITTTTSSSS TTTTTIIIMMMEDDD!!!Graph the function y = x3 + 3x2 – x – 3. Which lists all of the turning points of the graph?

Answer 1

I cannot do turning points.
Also, if this is from a test, it can be removed.

But here is a graph of the function.

Answer 2

Take derivitive and set to 0 to find the mins and maxes

y'=3x^2+6x-1
set to zero

0=3x^2+6x-1
solve and get $x=\frac{-3-2\sqrt{3}}{3}$ and $x=\frac{-3-2\sqrt{3}}{3}$
those are the turning points


if ya meant inflection point take 2nd deriviive and set to 0

y''=6x+6
set to o
0=6x+6
-6=6x
-1=x
if we find f(-1) we get 0

the inflection point is at (-1,0)