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.