Question

Find the equation of the exponential function represented by the table below:

Answer 1

The equation of the exponential function represented by the table will be:

`f(x)= 2(4)^(x)`

Explanation:

We know the equation of exponential function such as

`f(x) = ab^(x)`

Put x=0, and y=2 in the function

`2 = ab^(0)`

`2 = a`

Also x=1, and y=8 in the function

`8 = 2b^(1)`

`b=4`

Thus,

`f(x) = ab^(x)`

`= 2(4)^(x)`

Therefore, the equation of the exponential function represented by the table will be:

`f(x)= 2(4)^(x)`