Answer:
A
Step-by-step explanation:
Remark
You have to try all three possibilities to get the right one to fit the general formula. Fortunately if you are like most people, you will start from the top.
First Formula
- f(x) = 3*2^(x - 2) + 4
- f(3) = 3*2^(3 - 2) + 4
- f(3) = 3*2^1 + 4
- f(3) = 6 + 4
- f(3) = 10
- f(4) = 3*2^(x - 2) + 4
- f(4) = 3*2^(4 - 2) + 4
- f(4) = 3*2^2 + 4
- f(4) = 3*4 + 4
- f(4) = 12 + 4
- f(4) =16
- F(5) = 3*2^(5 - 2 ) + 4
- F(5) = 3*2^3 + 4
- f(5) = 3 * 8 + 4
- f(5) = 28
The last one is a little scant. See if you can fill in the missing steps.
You should try one of the ones that is f(x) 1/3 ..... I'll try D
Choice D
F(x) = 1/3 * 2^(x - 2) - 4
f(4) = 1/3 * 2^(4 - 2) - 4
f(4) = 1/3 * 4 - 4 and you really need not go any further. 1/3 * 4 gives a fraction. So C and D are both wrong for the same reason.
