The function is .
The initial value is .
(a)
\Calculate .
.
.
Calculate .
.
.
Calculate .
.
.
Calculate .
.
.
Calculate .
.
.
Calculate .
.
.
Calculate .
.
.
(b)
\Graph the points ,
and
.
(c)
\As more iterates are calculated and graphed, the iterates approach the origin.
\ will be located very close to the origin.
With each iteration of , the iterates approach the origin.
(a)
\,
,
,
,
,
and
.
(b) Graph:
\(c) will be located very close to the origin.