Question

The function g is defined by the following rule.

g(x) = 6^x
Find g(x) for each x-value in the table
-2
-1
0
1
2

Answer 1

Exponential Functions

Answer:

`&x &y \\ &-2 &(1)/(36) \\ &-1 &(1)/(6) \\ &0 &1 \\ &1 &6 \\ &2 &36`

Explanation:

Given:

`g(x) = 6^x`

Solutions:

`g(-2) = 6^(-2) \\ g(-2) = (1)/(6^2) \\ g(-2) = (1)/(36)`

`g(-1) = 6^(-1) \\ g(-1) = (1)/(6)`

`g(0) = 6^0 \\ g(0) = 1`

`g(1) = 6^1 \\ g(1) = 6`

`g(2) = 6^2 \\ g(2) = 36`