ANSWER
[tex]f(x) = x - 12[/tex]
EXPLANATION
The first x-value is 32.
When we subtract 12 from 32, we get:
[tex]32 - 12 =2 0[/tex]
The next y-value is 14.
When we subtract 12 from 14, we get:
[tex]14 - 12 = 2[/tex]
Also when we subtract 12 from -2, we get,
[tex] - 2 - 12 = - 14[/tex]
Let m be the missing x-value,then
[tex]m - 12 = - 6[/tex]
This implies that,
[tex]m = - 6 + 12[/tex]
[tex]m = 6[/tex]
Let n be the missing y-value, then
[tex] - 10 - 12 = n[/tex]
[tex]n = - 22[/tex]
Therefore we can generalize and write the function rule,
[tex]f(x) = x - 12[/tex]