Answer:
D. 2
Step-by-step explanation:
Replace values of x to evaluate the exponential function [tex]f(x)=(\frac{1}{2})^{x}[/tex]:
1. When x = -4
[tex]f(x)=(\frac{1}{2})^{-4}[/tex]
[tex]f(x)=16[/tex]
2. When x = 0
[tex]f(x)=(\frac{1}{2})^{0}[/tex]
[tex]f(x)=1[/tex]
3. When x = 1
[tex]f(x)=(\frac{1}{2})^{1}[/tex]
[tex]f(x)=\frac{1}{2}[/tex]
4. When x = 3
[tex]f(x)=(\frac{1}{2})^{3}[/tex]
[tex]f(x)=\frac{1}{8}[/tex]
5. When x = -1
[tex]f(x)=(\frac{1}{2})^{-1}[/tex]
[tex]f(x)=2[/tex]
