SOLUTION: (0,1)(1,0.5)(2,0.25)(3,0.125)(4,0.0625)what is the rule for this function and can you please show how you got the answer

Algebra ->  Functions -> SOLUTION: (0,1)(1,0.5)(2,0.25)(3,0.125)(4,0.0625)what is the rule for this function and can you please show how you got the answer      Log On


   

Question 373003: (0,1)(1,0.5)(2,0.25)(3,0.125)(4,0.0625)what is the rule for this function and can you please show how you got the answer
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x= 4, f(4) = 0.0625,
x =3, f(3) = 0.125,
x = 2, f(2) = 0.25,
x = 1, f(1) = 0.5,
x = 0, f(0) = 1.
Notice that %28f%28x%29%29%2F%28f%28x-1%29%29+=+1%2F2. Hence
*...**...*%281%2F2%29%2A%281%2F2%29, the product having x factors. The left most expression gives way to a chain-reaction of cancellations, giving %28f%28x%29%29%2F%28f%280%29%29+=+%281%2F2%29%5Ex+=+1%2F2%5Ex. But f(0) = 1, thus
f%28x%29+=+1%2F2%5Ex.
And that my STUDENT, is how it's done....