Question

Which exponential function is represented by the values in the table?

A.    f(x) = (4)x
B.    f(x) = 4(4)x
C.    f(x) = 4
D.    f(x) =

Answer 1

Answer: Its C.

Step-by-step explanation: Edge2020

Answer 2

Here we use the equation

`y = a(b)^x`

Taking points (0,4), (1,2)

Substituting the point (0,4) , we will get

`4 = a(b)^0 \\ 4 = a(1)  \\ a =4`

Substituting (1,2) we will get

`2 = 4 (b)^1 \\ 2/4 = b \\ b = 1/2`

So we have

`a = 4, b = 1/2`

Therefore , required equation is

`y = 4(1/2)^x`