Answer:
Given the table as shown below:
x y
-3 8/27
-2 8/9
-1 8/3
0 8
1 24
2 72
3 216
Taking any input variable x that are three apart:
i,e x = 0 and x = 3
The output values at x =0 and x = 3 are:
f(0) = 8 and f(3) = 216
Then;
The ratio of outputs is:
[tex]\frac{f(3)}{f(0)} = \frac{216}{8}= \frac{27}{1}[/tex] or 27 : 1
Therefore, the ratio outputs for any two inputs that are three values apart is: [tex]27: 1[/tex]
