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

f(x) = 1/2(4)x
f(x) =4(4)x
f(x) = 4(1/2)x
f(x) = 1/2(1/2)x

The correct option is C). f(x)=

Step-by-step explanation:

Given table show value of y=f(x) with respect to value x.

Table:

X    Y

0    4

1     2

2    1

By looking at given options,

Let f(x)=

Now, Using a given table values.

When x=0, f(x)=4

f(x)=

f(0)=

4=

a=4

When x=1, f(x)=2

f(x)=

f(1)=

also, a=4

2=

2=4xb

b=

Replacing value of a and b in f(x)

we get,

f(x)=

The correct option is C). f(x)=

the answer is 5636.7