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CPhill

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 #1
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The function f(x,y) accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the following rules: If x > 4, f(x,y) = (x - 4,y). If x \le 4 but y > 4, f(x,y) = (x,y - 4). Otherwise, f(x,y) = (x + 5, y + 6). A robot starts by moving to the point (1,1). Every time it arrives at a point (x,y), it applies fto that point and then moves to f(x,y). 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......

 

Nov 11, 2014