Question

Write a function rule for the table.

Answer 1

Answer:  The required function is $f(x)=x-4.$

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) :

$f(x)=f(3)=-1=3-4=x-4,\\\\f(x)=f(4)=0=4-4=x-4,\\\\f(x)=f(5)=1=5-4=x-4,\\\\f(x)=f(6)=2=6-4=x-4,~~~etc.$

Therefore, the given function can be written as

$f(x)=x-4.$

Thus, the required function is $f(x)=x-4.$

Answer 2

F(x)=x-4
x f(x)
3 –1
4 0
5 1
6 2