Answer :
The function is [tex]F(x)=x-4[/tex]
Step-by-step explanation:
Given values in table :
x f(x)
3 -1
4 0
5 1
6 2
Here we see there is a difference of 4 in the values of x and f(x)
i.e. 3-(-1)=4
or 4-0=4
Similarly 5-1=4
6-2=4
So x-F(x)=4
Adding F(x) -4 both sides
x-F(x) +F(x) -4=4+F(x) -4
We have F(x)= x-4
