Question

Write a function rule for the table.

x
f(x)
3
–1
4
0
5
1
6
2

Answer 1

f(x)=x-4
x f(x)
3 –1
4 0
5 1
6 2

Answer 2

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.`