Observe the graph :
\ over the intervals
and
.
over the intervals
.
I/D test :
\If on the interval
, then
is increasing on the interval
.
If on the interval
, then
is decreasing on the interval
.
Therefore, the function is increasing over the intervals
and
.
Therefore, the function is decreasing over the intervals
.
Graph :
\Graph the function such that all the above conditions are satisfied :
is decreasing on the interval
, hence
over the intervals
.
is increasing on the interval
, hence
over the intervals
.
Graph :
\Graph the function such that all the above conditions are satisfied :
Graph of the function is :
Graph of the function is : \ \
.