The function accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the following rules: If
,
. If
but
,
. Otherwise,
. A robot starts by moving to the point
. Every time it arrives at a point
, it applies
to that point and then moves to
. If the robot runs forever, how many different points will it visit? ...Sorry for the long question
The function accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the following rules: If
,
. If
but
,
. Otherwise,
. A robot starts by moving to the point
. Every time it arrives at a point
, it applies
to that point and then moves to
. If the robot runs forever, how many different points will it visit? ...Sorry for the long question
(1,1) → (6, 7) → (2, 7) → (2, 3) → (7, 9) → ( 3, 9) → (3, 5) → (3, 1) → (8, 7) → (4, 7) → (4, 3) → (9, 9) →
(5, 9) → (1, 9) → (1, 5) → (1, 1)
15 points...and the cycle starts over......
The function accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the following rules: If
,
. If
but
,
. Otherwise,
. A robot starts by moving to the point
. Every time it arrives at a point
, it applies
to that point and then moves to
. If the robot runs forever, how many different points will it visit? ...Sorry for the long question
(1,1) → (6, 7) → (2, 7) → (2, 3) → (7, 9) → ( 3, 9) → (3, 5) → (3, 1) → (8, 7) → (4, 7) → (4, 3) → (9, 9) →
(5, 9) → (1, 9) → (1, 5) → (1, 1)
15 points...and the cycle starts over......