SOLUTION: Write a rule for the following function X=-1,0,1,2 Y=1/24,1/6,2/3,2 2/3

Algebra ->  Functions -> SOLUTION: Write a rule for the following function X=-1,0,1,2 Y=1/24,1/6,2/3,2 2/3      Log On


   

Question 951295: Write a rule for the following function
X=-1,0,1,2
Y=1/24,1/6,2/3,2 2/3
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
%282%262%2F3%29%2F%282%2F3%29=%288%2F3%29%2F%282%2F3%29=%288%2F3%29%283%2F2%29=4

%281%2F6%29%2A4=2%2F3
.
.
Common ratio to successive terms is 4. The X values are offset from a standard reference.

If use as an index, then ...,
easiest to say y=%281%2F24%294%5E%28n-1%29. Shift this right-ward 2 units.
That would be y=%281%2F24%29%2A4%5E%28n-1-2%29.
y=%281%2F24%29%2A4%5E%28n-3%29

If you are interested in the continuous function, you can come back to your variables,
highlight%28Y=%281%2F24%29%2A4%5E%28%28X-3%29%29%29