Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Complete the function table and write the function rule.

Answer 1

`f(x) = x - 12`

Step-by-step explanation

The first x-value is 32.

When we subtract 12 from 32, we get:

`32 - 12 =2 0`

The next y-value is 14.

When we subtract 12 from 14, we get:

`14 - 12 = 2`

Also when we subtract 12 from -2, we get,

`- 2 - 12 = - 14`

Let m be the missing x-value,then

`m - 12 = - 6`

This implies that,

`m = - 6 + 12`

`m = 6`

Let n be the missing y-value, then

`- 10 - 12 = n`

`n = - 22`

Therefore we can generalize and write the function rule,

`f(x) = x - 12`