Question

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

Answer 1

1/2Answer:

C.

Step-by-step explanation: f(x) = 4(1/2)x

Answer 2

The correct option is C). f(x)=
`4* ((1)/(2))^(x)`

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)=
`a* b^(x)`

Now, Using a given table values.

When x=0, f(x)=4

f(x)=
`a* b^(x)`

f(0)=
`a* b^(0)`

4=
`a*1`

a=4

When x=1, f(x)=2

f(x)=
`a* b^(x)`

f(1)=
`a* b^(1)`

also, a=4

2=
`4* b^(1)`

2=4xb

b=
`(1)/(2)`

Replacing value of a and b in f(x)

we get,

f(x)=
`4* ((1)/(2))^(x)`

The correct option is C). f(x)=
`4* ((1)/(2))^(x)`