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Mathematics
Mathematics
Problem
The function
f
f
f
is defined by
f
(
x
)
=
{
x
3
,
x
≤
1
3
−
x
,
x
>
1
.
f(x)=\begin{cases}x^{3},& x\le 1\\ 3-x,& x>1\end{cases}.
f
(
x
)
=
{
x
3
,
3
−
x
,
x
≤
1
x
>
1
.
Determine the interval(s) on which
f
f
f
increases and the interval(s) on which it decreases.
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