(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
.