SOLUTION: 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

SOLUTION: 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 \l

Question 836806: 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 f to that point and then moves to f(x,y). If the robot runs forever, how many different points will it visit?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Note that the maximum x-coordinate the robot can reach is 9, and the maximum y-coordinate is 10. Try a few steps:

(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)

We're back to where we started! The robot will visit 15 different points.
RELATED QUESTIONS
The function f(x,y) accepts an ordered pair as input and gives another ordered pair as... (answered by richard1234)

The function f(x,y) accepts an ordered pair as input and gives another ordered pair as... (answered by jim_thompson5910)

Evaluate each given function for the given value of x, and write the input and output... (answered by josgarithmetic)

I need an explanation to this: Genaerate ordered pairs fo y= x-4 using x= 2,3,4,5 and 6. (answered by stanbon)

I need to know how to write the data as an ordered pair. Windchill vs. air Temperature... (answered by nerdybill)

For the function f(x) =x + 6, what is f(9)? State your answer as an ordered... (answered by jim_thompson5910)

I am confused as to what this question is asking..please help :) Find the x- and... (answered by stanbon)

Find the following for {{{x-2y=3}}} y-intercept as an ordered pair =>... (answered by jim_thompson5910)

Find the following for {{{3x-6y=9}}} y-intercept as an ordered pair =>... (answered by jim_thompson5910)