is continuous, decreasing for
and increasing for
.
For the continuous function, there must be no breaks, holes or gaps in the graph.
\For the increasing function, the -value increases as the
-value increases.
For the decreasing function, the -value decreases as the
-value increases.
Required function decreasing for and increasing for
. In other words absolute minimum of the function is at
.
Graph:
\Observe the graph:
\ is continuous, decreasing for
and increasing for
.
Graph:
\.