Question

Identify the open intervals on which the function is increasing or decreasing. (Select all that apply.)
h(x) = 3x − x^3

Increasing:

(−infinity, −1)
(−1, 1)
(1,+infinity )
none of these
.


Decreasing:

(−infinty, −1)
(−1, 1)
(1,+infinity )
none of these
.

these r answer choices whichever apply should be ticked..so which ones should be

Answer 1

How's is this different?

Answer 2

jsut the wya i wrote it

Answer 3

can u pleas ejust tell me which ones to select im getting timed..omg sorry

Answer 4

please imran

Answer 5

We need again to determine the derivative
h'(x) = 3 - 3x^2
We'll detemrine the roots:
3-3x^2 = 0
1 - x^2 =0
(1-x)(1+x)=0
1-x=0 =>x=1
1+x=0 => x=-1
The function is decreasing over the intervals (-infinite,-1) and (1,infinite) and it is increasing over the interval [-1,1].