Question

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

Answer 1

Answer:

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

$f(x)= 2(4)^{x}$

Step-by-step 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:

$f(x)= 2(4)^{x}$