Question

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 less equal 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 f to that point and then moves to f(x,y). If the robot runs forever, how many different points will it visit?​

Answer 1

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Answer:

15

Explanation:

In order, the points visited are ...

{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}, and {1,1}, which starts the sequence over again.

A total of 15 different points are visited.