Question

Given the exponential function g(x)= 1∕2(2)^x, evaluate ƒ(1), ƒ(3), and ƒ(6).

A) ƒ(1) = 1, ƒ(3) = 4, ƒ(6) = 32
B) ƒ(1) = 2, ƒ(3) = 9, ƒ(6) = 64
C) ƒ(1) = 1, ƒ(3) = 2, ƒ(6) = 8
D) ƒ(1) = 4, ƒ(3) = 16, ƒ(6) = 128

Answer 1

A) ƒ(1) = 1, ƒ(3) = 4, ƒ(6) = 32

Step-by-step explanation: I took the test

Answer 2

A) ƒ(1) = 1, ƒ(3) = 4, ƒ(6) = 32

Explanation:

f(x)= 1∕2(2)^x,

Let x = 1

f(1)= 1∕2(2)^1 = 1/2 ( 2) = 1

Let x = 3

f(3)= 1∕2(2)^3 = 1/2 ( 8) = 4

Let x = 1

f(6)= 1∕2(2)^6 = 1/2 ( 64) = 32