This table shows the input and output values for an exponential function f(x) .what is the ratio of outputs for any two inputs that are three values apart? enter your answer, as a simplified fraction, in the boxes.$$x −3 −2 −1 0 1 2 3f(x) 8/27 8/9 8/3 8 2/4 7/2 2/16

27  9/16  21/16  1

Step-by-step explanation:

The table with the input and output values for the exponential function is the following:

x−3−2−10123

f(x)8/27 8/98/382/47/22/16

Now we have to take three output values that are three values apart and calculate their ratio. Let's take x=0 and x=-3. The output ratio is:

Let's now take x=1 and x=-2:

And so on:

So, the ratios are:

27  9/16  21/16  1

536

step-by-step explanation: