Write a function rule for the table.

x
f(x)
3
–1
4
0
5
1
6
2

 The required function is

Step-by-step explanation:  We are given to write a function for the following table :

x                  3           4         5        6

f(x)              -1           0          1         2

We see the following pattern in the values of x and the corresponding values of f(x) :

Therefore, the given function can be written as

Thus, the required function is

linear pair postulates