Find the missing values for the exponential function represented by the table below.

x y
-2 7
-1 10.5
0 15.75
1
2

x     y

-2   7

-1    10.5

0    15.75

1     23.625

2    35.4375

Step-by-step explanation:

The general equation of the exponential function is .

We know from our table that when , . Let's replace those values in our equation:

Remember that , so:

We also know from our table that when , . Let's replace the values again:

But we now know that , so let's replace that value as well:

Remember that , so:

Now, we can put it all together to complete our exponential function:

To find the missing values, we just need to evaluate our function at and :

- For

- For