A continuous function has a relative minimum at
and is increasing as
increses from
.
The function as
increses to
.
Because represents relative minimum, by definition
, where
is slightly less than
, must be greater than
. Therefore, as
increses from
to
, the function is decreasing.
Because represents relative minimum, by definition
, where
is slightly less than
, must be greater than
. Therefore, as
increses from
to
, the function is decreasing.