(3)
\Step 1:
\Increasing / Decreasing test :
\If on the interval, then f is increasing on the interval.
If on the interval, then f is decreasing on the interval.
Observe the graph .
over the intervals
and
, therefore the function
is increasing on the intervals
and
.
over the interval
, therefore the function
is decreasing on the interval
.
Solution :
\The function is increasing over the intervals
and
.
The function is decreasing over the interval
.
\
(4)
\Step 1:
\Increasing / Decreasing test :
\If on the interval, then f is increasing on the interval.
If on the interval, then f is decreasing on the interval.
Observe the graph .
over the interval
, therefore the function
is decreasing on the interval
.
Solution :
\The function is decreasing over the interval
.