I assume one of the four options is the correct answer...
Remember that in order to determine if a function rule is correct, you should be able to plug an x value into the equation and get the corresponding y value as the answer.
The first option, f(x) = x + 1, is correct!
Answer: The correct option is (A) f(x) = x + 1.
Step-by-step explanation: We are given to write a function rule for the following table :
x -1 0 1 2
f(x) 0 1 2 3
From the given table, we see that
[tex]f(-1)=0=-1+1,\\\\f(0)=1=0+1,\\\\f(1)=2=1+1,\\\\f(2)=3=2+1.[/tex]
Therefore, the required function rule is given by
[tex]f(x)=x+1.[/tex]
Thus, option (A) is CORRECT.
