Question

The function f is defined by the following rule.
Find f(x) for each x-value in the table.

Answer 1

x y

-2 36

-1 6

0 1

1 1/6

2 1/36

Explanation:

Given

`f(x) = ((1)/(6))^x`

Required

Complete the table

When x = -2.

Substitute -2 for

`f(-2) = ((1)/(6))^{-2`

`f(-2) = 1/(1)/(36)`

`f(-2) = 36`

When x = -1

`f(-1) = ((1)/(6))^{-1`

`f(-1) = 1/(1)/(6)`

`f(-1) = 6`

When x = 0

`f(0) = (1)/(6)^0`

`f(0) = 1`

When x = 1

`f(1) = (1)/(6)^1`

`f(1) = (1)/(6)`

When x = 2

`f(2) = (1)/(6)^2`

`f(2) = (1)/(36)`