Evaluate : 
To find:![]()
We have,
Let f(x) = x3 – x = x(x2 – 1) = x(x – 1)(x + 1)
The signs for f(x) for the different values are shown in the figure below:

f(x) > 0 for all x
(-1, 0) U (1, 2)
f(x) < 0 for all x
(0, 1)
Therefore,
![]()
![]()
![]()


![]()
![]()
![]()
![]()
![]()
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.



