Answer:
In order the sequences defined by the expressions on the left are ...
- 2, 4, 8, 16
- 4, 8, 16, 32
- 1/2, 1/4, 1/8, 1/16
- 1, 1/2, 14, 1/8
- 1, 2, 4, 8
- 1/4, 1/8, 1/16, 1/32
Step-by-step explanation:
One of the first steps in working multiple choice questions (in any subject) is to look at the answers to see what you need to know to be able to tell a correct answer from an incorrect one.
Here, all of the first terms are different, except for the two sequences that both starts with 1. Those differ in the ratio between terms (1/2 vs 2).
This means you only have to evaluate the expression for the first domain value (x=1) and you can tell right away what the answer is. It is not complicated, and your calculator can help if you can't do it in your head.
___
Starting at the top of the list on the left, ...
2^1 = 2 . . . . matches 2, 4, 8, ...
2(2^1) = 4 . . . . matches 4, 8, 16, ...
(1/2)^1 = 1/2 . . . . matches 1/2, 1/4, 1/8, ...
2(1/2)^1 = 1 . . . . double the previous sequence, so 1, 1/2, 1/4, ...
1/2(2^1) = 1 . . . . half the first sequence, so 1, 2, 4, ...
1/2(1/2)^1 = 1/4 . . . . matches 1/4, 1/8, 1/16, ...
