is continuous, increasing for and decreasing 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 increasing for and decreasing for . In other words absolute maximum of the function is at .

Graph:

Observe the graph:

is continuous, increasing for and decreasing for .

Graph:

.