Answer: The required function is [tex]f(x)=x-4.[/tex]
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) :
[tex]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.[/tex]
Therefore, the given function can be written as
[tex]f(x)=x-4.[/tex]
Thus, the required function is [tex]f(x)=x-4.[/tex]
