How to find the pattern in this function?
x=1, y=o
x=2, y=1
x=3, y=1
x=4, y=2
x=5, y=2
x=6, y=3
x=7, y=3 and so on...

Hello Hien,
Let’s split this up for even and odd values of x.

X =

1

3

5

7

9

11

13

...

Y =

0

1

2

3

4

5

6

...

X =

2

4

6

8

10

12

14

...

Y =

1

2

3

4

5

6

7

...

Try plotting graphs for each of these tables separately. What do you get?
You can combine these two functions into one by writing the overall function as a ‘piece-wise’ function.
Write back if you need more help.
Tyler

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.