Question

Evaluate the exponential function f(x)=(1/2)^x. Which value completes this table?

x | -4 | -1 | 0 | 1 | 3 |
--------------------------------
f(x) | 16 | ? | 1 | 1/2 | 1/8 |


A. 12
B. 8
C. 4
D. 2

Answer 1

0.5^-1=2
the answer is 2

Answer 2

D. 2

Explanation:

Replace values of x to evaluate the exponential function
`f(x)=((1)/(2))^(x)`:

1. When x = -4

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

`f(x)=16`

2. When x = 0

`f(x)=((1)/(2))^(0)`

`f(x)=1`

3. When x = 1

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

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

4. When x = 3

`f(x)=((1)/(2))^(3)`

`f(x)=(1)/(8)`

5. When x = -1

`f(x)=((1)/(2))^(-1)`

`f(x)=2`