Evaluate the exponential function ƒ(x) = (1/2)^xx -4 -1 0 1 3ƒ(x) 16 ? 1 1/2 1/8Which value completes this table?A.12B.8C.4D.2
Accepted Solution
A:
For this case we have the following exponential function: [tex]f(x) = (\frac{1}{2})^x [/tex] Evaluating the function for x = -1 we have: [tex]f(x)=(\frac{1}{2})^{-1}[/tex] By power properties we can rewrite the function. We have then: [tex]f(x)= \frac{1}{(\frac{1}{2})^1} [/tex] [tex]f(x)= \frac{1}{\frac{1}{2}}[/tex] [tex]f(x) = 2[/tex] Answer: The value that completes the table when x = -1 is: [tex]f(x) = 2[/tex] D. 2