Question

This table shows the input and output values for an exponential function f(x) .

Answer 1

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:

$\frac{f(3)}{f(0)} = \frac{216}{8}= \frac{27}{1}$ or 27 : 1

Therefore, the ratio outputs for any two inputs that are three values apart is: $27: 1$